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Finding the Fourth Proportional to 692.68, 954.45 and 471.24

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Solution

The fourth proportional to 692.68, 954.45 and 471.24 is: 649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.68 : 954.45 = 471.24 : x
  2. Step 2: Convert to fraction form
    692.68/954.45 = 471.24/x
  3. Step 3: Cross multiply
    692.68x = 954.45 × 471.24
  4. Step 4: Simplify right side
    692.68x = 449,772.66
  5. Step 5: Solve for x
    x = 449,772.66/692.68
  6. Step 6: Final answer
    x = 649.33

Related Problems

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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.