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Finding the Fourth Proportional to 734.77, 1,013.70 and 447.22

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Solution

The fourth proportional to 734.77, 1,013.70 and 447.22 is: 616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.77 : 1,013.70 = 447.22 : x
  2. Step 2: Convert to fraction form
    734.77/1,013.70 = 447.22/x
  3. Step 3: Cross multiply
    734.77x = 1,013.70 × 447.22
  4. Step 4: Simplify right side
    734.77x = 453,339.61
  5. Step 5: Solve for x
    x = 453,339.61/734.77
  6. Step 6: Final answer
    x = 616.99

Related Problems

Find fourth proportional to 367.38, 506.85 and 223.61
Half scale
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Double scale
Find fourth proportional to 735.77, 1,015.07 and 448.22
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.