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Finding the Fourth Proportional to 758.60, 1,045.90 and 492.58

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Solution

The fourth proportional to 758.60, 1,045.90 and 492.58 is: 679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.60 : 1,045.90 = 492.58 : x
  2. Step 2: Convert to fraction form
    758.60/1,045.90 = 492.58/x
  3. Step 3: Cross multiply
    758.60x = 1,045.90 × 492.58
  4. Step 4: Simplify right side
    758.60x = 515,189.42
  5. Step 5: Solve for x
    x = 515,189.42/758.60
  6. Step 6: Final answer
    x = 679.13

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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.