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Finding the Fourth Proportional to 530.48, 731.92 and 320.78

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Solution

The fourth proportional to 530.48, 731.92 and 320.78 is: 442.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.48 : 731.92 = 320.78 : x
  2. Step 2: Convert to fraction form
    530.48/731.92 = 320.78/x
  3. Step 3: Cross multiply
    530.48x = 731.92 × 320.78
  4. Step 4: Simplify right side
    530.48x = 234,782.04
  5. Step 5: Solve for x
    x = 234,782.04/530.48
  6. Step 6: Final answer
    x = 442.59

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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.