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Finding the Fourth Proportional to 666.90, 1,001.52 and 577.08

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Solution

The fourth proportional to 666.90, 1,001.52 and 577.08 is: 866.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.90 : 1,001.52 = 577.08 : x
  2. Step 2: Convert to fraction form
    666.90/1,001.52 = 577.08/x
  3. Step 3: Cross multiply
    666.90x = 1,001.52 × 577.08
  4. Step 4: Simplify right side
    666.90x = 577,957.16
  5. Step 5: Solve for x
    x = 577,957.16/666.90
  6. Step 6: Final answer
    x = 866.63

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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.