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Finding the Fourth Proportional to 666.30, 920.17 and 500.25

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Solution

The fourth proportional to 666.30, 920.17 and 500.25 is: 690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.30 : 920.17 = 500.25 : x
  2. Step 2: Convert to fraction form
    666.30/920.17 = 500.25/x
  3. Step 3: Cross multiply
    666.30x = 920.17 × 500.25
  4. Step 4: Simplify right side
    666.30x = 460,315.04
  5. Step 5: Solve for x
    x = 460,315.04/666.30
  6. Step 6: Final answer
    x = 690.85

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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.