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Finding the Fourth Proportional to 666.10, 999.15 and 471.70

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Solution

The fourth proportional to 666.10, 999.15 and 471.70 is: 707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.10 : 999.15 = 471.70 : x
  2. Step 2: Convert to fraction form
    666.10/999.15 = 471.70/x
  3. Step 3: Cross multiply
    666.10x = 999.15 × 471.70
  4. Step 4: Simplify right side
    666.10x = 471,299.06
  5. Step 5: Solve for x
    x = 471,299.06/666.10
  6. Step 6: Final answer
    x = 707.55

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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.