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Finding the Fourth Proportional to 649.72, 896.46 and 474.76

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Solution

The fourth proportional to 649.72, 896.46 and 474.76 is: 655.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.72 : 896.46 = 474.76 : x
  2. Step 2: Convert to fraction form
    649.72/896.46 = 474.76/x
  3. Step 3: Cross multiply
    649.72x = 896.46 × 474.76
  4. Step 4: Simplify right side
    649.72x = 425,603.35
  5. Step 5: Solve for x
    x = 425,603.35/649.72
  6. Step 6: Final answer
    x = 655.06

Related Problems

Find fourth proportional to 324.86, 448.23 and 237.38
Half scale
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Double scale
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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.