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Finding the Fourth Proportional to 527.80, 785.15 and 513.76

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Solution

The fourth proportional to 527.80, 785.15 and 513.76 is: 764.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.80 : 785.15 = 513.76 : x
  2. Step 2: Convert to fraction form
    527.80/785.15 = 513.76/x
  3. Step 3: Cross multiply
    527.80x = 785.15 × 513.76
  4. Step 4: Simplify right side
    527.80x = 403,378.66
  5. Step 5: Solve for x
    x = 403,378.66/527.80
  6. Step 6: Final answer
    x = 764.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.