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Finding the Fourth Proportional to 588.96, 880.13 and 515.16

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Solution

The fourth proportional to 588.96, 880.13 and 515.16 is: 769.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.96 : 880.13 = 515.16 : x
  2. Step 2: Convert to fraction form
    588.96/880.13 = 515.16/x
  3. Step 3: Cross multiply
    588.96x = 880.13 × 515.16
  4. Step 4: Simplify right side
    588.96x = 453,405.20
  5. Step 5: Solve for x
    x = 453,405.20/588.96
  6. Step 6: Final answer
    x = 769.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.