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Finding the Fourth Proportional to 526.44, 731.21 and 511.86

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Solution

The fourth proportional to 526.44, 731.21 and 511.86 is: 710.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.44 : 731.21 = 511.86 : x
  2. Step 2: Convert to fraction form
    526.44/731.21 = 511.86/x
  3. Step 3: Cross multiply
    526.44x = 731.21 × 511.86
  4. Step 4: Simplify right side
    526.44x = 374,274.59
  5. Step 5: Solve for x
    x = 374,274.59/526.44
  6. Step 6: Final answer
    x = 710.95

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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.