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Finding the Fourth Proportional to 769.12, 1,061.40 and 458.80

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Solution

The fourth proportional to 769.12, 1,061.40 and 458.80 is: 633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.12 : 1,061.40 = 458.80 : x
  2. Step 2: Convert to fraction form
    769.12/1,061.40 = 458.80/x
  3. Step 3: Cross multiply
    769.12x = 1,061.40 × 458.80
  4. Step 4: Simplify right side
    769.12x = 486,970.32
  5. Step 5: Solve for x
    x = 486,970.32/769.12
  6. Step 6: Final answer
    x = 633.15

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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.