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Finding the Fourth Proportional to 530.96, 733.20 and 442.60

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Solution

The fourth proportional to 530.96, 733.20 and 442.60 is: 611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.96 : 733.20 = 442.60 : x
  2. Step 2: Convert to fraction form
    530.96/733.20 = 442.60/x
  3. Step 3: Cross multiply
    530.96x = 733.20 × 442.60
  4. Step 4: Simplify right side
    530.96x = 324,514.32
  5. Step 5: Solve for x
    x = 324,514.32/530.96
  6. Step 6: Final answer
    x = 611.18

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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.