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Finding the Fourth Proportional to 666.59, 1,000.29 and 611.51

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Solution

The fourth proportional to 666.59, 1,000.29 and 611.51 is: 917.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.59 : 1,000.29 = 611.51 : x
  2. Step 2: Convert to fraction form
    666.59/1,000.29 = 611.51/x
  3. Step 3: Cross multiply
    666.59x = 1,000.29 × 611.51
  4. Step 4: Simplify right side
    666.59x = 611,687.34
  5. Step 5: Solve for x
    x = 611,687.34/666.59
  6. Step 6: Final answer
    x = 917.64

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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.