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Finding the Fourth Proportional to 765.46, 1,148.88 and 490.72

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Solution

The fourth proportional to 765.46, 1,148.88 and 490.72 is: 736.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.46 : 1,148.88 = 490.72 : x
  2. Step 2: Convert to fraction form
    765.46/1,148.88 = 490.72/x
  3. Step 3: Cross multiply
    765.46x = 1,148.88 × 490.72
  4. Step 4: Simplify right side
    765.46x = 563,778.39
  5. Step 5: Solve for x
    x = 563,778.39/765.46
  6. Step 6: Final answer
    x = 736.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.