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Finding the Fourth Proportional to 758.26, 1,045.91 and 463.22

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Solution

The fourth proportional to 758.26, 1,045.91 and 463.22 is: 638.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.26 : 1,045.91 = 463.22 : x
  2. Step 2: Convert to fraction form
    758.26/1,045.91 = 463.22/x
  3. Step 3: Cross multiply
    758.26x = 1,045.91 × 463.22
  4. Step 4: Simplify right side
    758.26x = 484,486.28
  5. Step 5: Solve for x
    x = 484,486.28/758.26
  6. Step 6: Final answer
    x = 638.94

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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.