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Finding the Fourth Proportional to 530.60, 731.78 and 425.48

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Solution

The fourth proportional to 530.60, 731.78 and 425.48 is: 586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.60 : 731.78 = 425.48 : x
  2. Step 2: Convert to fraction form
    530.60/731.78 = 425.48/x
  3. Step 3: Cross multiply
    530.60x = 731.78 × 425.48
  4. Step 4: Simplify right side
    530.60x = 311,357.75
  5. Step 5: Solve for x
    x = 311,357.75/530.60
  6. Step 6: Final answer
    x = 586.80

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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.