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Finding the Fourth Proportional to 937.98, 1,294.47 and 523.98

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Solution

The fourth proportional to 937.98, 1,294.47 and 523.98 is: 723.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.98 : 1,294.47 = 523.98 : x
  2. Step 2: Convert to fraction form
    937.98/1,294.47 = 523.98/x
  3. Step 3: Cross multiply
    937.98x = 1,294.47 × 523.98
  4. Step 4: Simplify right side
    937.98x = 678,276.39
  5. Step 5: Solve for x
    x = 678,276.39/937.98
  6. Step 6: Final answer
    x = 723.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.