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Finding the Fourth Proportional to 666.68, 999.54 and 410.12

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Solution

The fourth proportional to 666.68, 999.54 and 410.12 is: 614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.68 : 999.54 = 410.12 : x
  2. Step 2: Convert to fraction form
    666.68/999.54 = 410.12/x
  3. Step 3: Cross multiply
    666.68x = 999.54 × 410.12
  4. Step 4: Simplify right side
    666.68x = 409,931.34
  5. Step 5: Solve for x
    x = 409,931.34/666.68
  6. Step 6: Final answer
    x = 614.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.