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Finding the Fourth Proportional to 527.36, 731.15 and 498.20

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Solution

The fourth proportional to 527.36, 731.15 and 498.20 is: 690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.36 : 731.15 = 498.20 : x
  2. Step 2: Convert to fraction form
    527.36/731.15 = 498.20/x
  3. Step 3: Cross multiply
    527.36x = 731.15 × 498.20
  4. Step 4: Simplify right side
    527.36x = 364,258.93
  5. Step 5: Solve for x
    x = 364,258.93/527.36
  6. Step 6: Final answer
    x = 690.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.