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Finding the Fourth Proportional to 666.98, 1,001.12 and 359.06

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Solution

The fourth proportional to 666.98, 1,001.12 and 359.06 is: 538.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.98 : 1,001.12 = 359.06 : x
  2. Step 2: Convert to fraction form
    666.98/1,001.12 = 359.06/x
  3. Step 3: Cross multiply
    666.98x = 1,001.12 × 359.06
  4. Step 4: Simplify right side
    666.98x = 359,455.35
  5. Step 5: Solve for x
    x = 359,455.35/666.98
  6. Step 6: Final answer
    x = 538.93

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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.