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Finding the Fourth Proportional to 699.75, 1,047.42 and 424.98

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Solution

The fourth proportional to 699.75, 1,047.42 and 424.98 is: 636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.75 : 1,047.42 = 424.98 : x
  2. Step 2: Convert to fraction form
    699.75/1,047.42 = 424.98/x
  3. Step 3: Cross multiply
    699.75x = 1,047.42 × 424.98
  4. Step 4: Simplify right side
    699.75x = 445,132.55
  5. Step 5: Solve for x
    x = 445,132.55/699.75
  6. Step 6: Final answer
    x = 636.13

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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.