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Finding the Fourth Proportional to 529.76, 731.04 and 305.72

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Solution

The fourth proportional to 529.76, 731.04 and 305.72 is: 421.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.76 : 731.04 = 305.72 : x
  2. Step 2: Convert to fraction form
    529.76/731.04 = 305.72/x
  3. Step 3: Cross multiply
    529.76x = 731.04 × 305.72
  4. Step 4: Simplify right side
    529.76x = 223,493.55
  5. Step 5: Solve for x
    x = 223,493.55/529.76
  6. Step 6: Final answer
    x = 421.88

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1.5x scale

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.