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Finding the Fourth Proportional to 527.62, 728.12 and 320.62

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Solution

The fourth proportional to 527.62, 728.12 and 320.62 is: 442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.62 : 728.12 = 320.62 : x
  2. Step 2: Convert to fraction form
    527.62/728.12 = 320.62/x
  3. Step 3: Cross multiply
    527.62x = 728.12 × 320.62
  4. Step 4: Simplify right side
    527.62x = 233,449.83
  5. Step 5: Solve for x
    x = 233,449.83/527.62
  6. Step 6: Final answer
    x = 442.46

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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.