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Finding the Fourth Proportional to 697.98, 1,042.35 and 600.78

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Solution

The fourth proportional to 697.98, 1,042.35 and 600.78 is: 897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.98 : 1,042.35 = 600.78 : x
  2. Step 2: Convert to fraction form
    697.98/1,042.35 = 600.78/x
  3. Step 3: Cross multiply
    697.98x = 1,042.35 × 600.78
  4. Step 4: Simplify right side
    697.98x = 626,223.03
  5. Step 5: Solve for x
    x = 626,223.03/697.98
  6. Step 6: Final answer
    x = 897.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.