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Finding the Fourth Proportional to 526.20, 719.71 and 517.69

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Solution

The fourth proportional to 526.20, 719.71 and 517.69 is: 708.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.20 : 719.71 = 517.69 : x
  2. Step 2: Convert to fraction form
    526.20/719.71 = 517.69/x
  3. Step 3: Cross multiply
    526.20x = 719.71 × 517.69
  4. Step 4: Simplify right side
    526.20x = 372,587.73
  5. Step 5: Solve for x
    x = 372,587.73/526.20
  6. Step 6: Final answer
    x = 708.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.