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Finding the Fourth Proportional to 756.98, 1,044.68 and 462.30

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Solution

The fourth proportional to 756.98, 1,044.68 and 462.30 is: 638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.98 : 1,044.68 = 462.30 : x
  2. Step 2: Convert to fraction form
    756.98/1,044.68 = 462.30/x
  3. Step 3: Cross multiply
    756.98x = 1,044.68 × 462.30
  4. Step 4: Simplify right side
    756.98x = 482,956.72
  5. Step 5: Solve for x
    x = 482,956.72/756.98
  6. Step 6: Final answer
    x = 638.00

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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.