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Finding the Fourth Proportional to 666.97, 920.51 and 457.36

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Solution

The fourth proportional to 666.97, 920.51 and 457.36 is: 631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.97 : 920.51 = 457.36 : x
  2. Step 2: Convert to fraction form
    666.97/920.51 = 457.36/x
  3. Step 3: Cross multiply
    666.97x = 920.51 × 457.36
  4. Step 4: Simplify right side
    666.97x = 421,002.17
  5. Step 5: Solve for x
    x = 421,002.17/666.97
  6. Step 6: Final answer
    x = 631.22

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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.