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Finding the Fourth Proportional to 666.73, 920.66 and 557.38

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Solution

The fourth proportional to 666.73, 920.66 and 557.38 is: 769.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.73 : 920.66 = 557.38 : x
  2. Step 2: Convert to fraction form
    666.73/920.66 = 557.38/x
  3. Step 3: Cross multiply
    666.73x = 920.66 × 557.38
  4. Step 4: Simplify right side
    666.73x = 513,157.47
  5. Step 5: Solve for x
    x = 513,157.47/666.73
  6. Step 6: Final answer
    x = 769.66

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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.