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Finding the Fourth Proportional to 697.17, 1,044.54 and 663.15

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Solution

The fourth proportional to 697.17, 1,044.54 and 663.15 is: 993.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.17 : 1,044.54 = 663.15 : x
  2. Step 2: Convert to fraction form
    697.17/1,044.54 = 663.15/x
  3. Step 3: Cross multiply
    697.17x = 1,044.54 × 663.15
  4. Step 4: Simplify right side
    697.17x = 692,686.70
  5. Step 5: Solve for x
    x = 692,686.70/697.17
  6. Step 6: Final answer
    x = 993.57

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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.