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Finding the Fourth Proportional to 666.64, 920.30 and 457.20

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Solution

The fourth proportional to 666.64, 920.30 and 457.20 is: 631.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.64 : 920.30 = 457.20 : x
  2. Step 2: Convert to fraction form
    666.64/920.30 = 457.20/x
  3. Step 3: Cross multiply
    666.64x = 920.30 × 457.20
  4. Step 4: Simplify right side
    666.64x = 420,758.87
  5. Step 5: Solve for x
    x = 420,758.87/666.64
  6. Step 6: Final answer
    x = 631.17

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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.