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Finding the Fourth Proportional to 758.52, 1,046.70 and 496.08

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Solution

The fourth proportional to 758.52, 1,046.70 and 496.08 is: 684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.52 : 1,046.70 = 496.08 : x
  2. Step 2: Convert to fraction form
    758.52/1,046.70 = 496.08/x
  3. Step 3: Cross multiply
    758.52x = 1,046.70 × 496.08
  4. Step 4: Simplify right side
    758.52x = 519,246.94
  5. Step 5: Solve for x
    x = 519,246.94/758.52
  6. Step 6: Final answer
    x = 684.55

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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.