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Finding the Fourth Proportional to 734.75, 1,014.45 and 469.34

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Solution

The fourth proportional to 734.75, 1,014.45 and 469.34 is: 648.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.75 : 1,014.45 = 469.34 : x
  2. Step 2: Convert to fraction form
    734.75/1,014.45 = 469.34/x
  3. Step 3: Cross multiply
    734.75x = 1,014.45 × 469.34
  4. Step 4: Simplify right side
    734.75x = 476,121.96
  5. Step 5: Solve for x
    x = 476,121.96/734.75
  6. Step 6: Final answer
    x = 648.01

Related Problems

Find fourth proportional to 367.38, 507.23 and 234.67
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.