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Finding the Fourth Proportional to 692.32, 954.12 and 471.28

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Solution

The fourth proportional to 692.32, 954.12 and 471.28 is: 649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.32 : 954.12 = 471.28 : x
  2. Step 2: Convert to fraction form
    692.32/954.12 = 471.28/x
  3. Step 3: Cross multiply
    692.32x = 954.12 × 471.28
  4. Step 4: Simplify right side
    692.32x = 449,657.67
  5. Step 5: Solve for x
    x = 449,657.67/692.32
  6. Step 6: Final answer
    x = 649.49

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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.