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Finding the Fourth Proportional to 666.91, 920.08 and 457.43

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Solution

The fourth proportional to 666.91, 920.08 and 457.43 is: 631.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.91 : 920.08 = 457.43 : x
  2. Step 2: Convert to fraction form
    666.91/920.08 = 457.43/x
  3. Step 3: Cross multiply
    666.91x = 920.08 × 457.43
  4. Step 4: Simplify right side
    666.91x = 420,866.45
  5. Step 5: Solve for x
    x = 420,866.45/666.91
  6. Step 6: Final answer
    x = 631.07

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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.