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Finding the Fourth Proportional to 666.61, 1,000.03 and 319.70

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Solution

The fourth proportional to 666.61, 1,000.03 and 319.70 is: 479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.61 : 1,000.03 = 319.70 : x
  2. Step 2: Convert to fraction form
    666.61/1,000.03 = 319.70/x
  3. Step 3: Cross multiply
    666.61x = 1,000.03 × 319.70
  4. Step 4: Simplify right side
    666.61x = 319,709.59
  5. Step 5: Solve for x
    x = 319,709.59/666.61
  6. Step 6: Final answer
    x = 479.61

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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.