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Finding the Fourth Proportional to 527.28, 784.72 and 525.66

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Solution

The fourth proportional to 527.28, 784.72 and 525.66 is: 782.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.28 : 784.72 = 525.66 : x
  2. Step 2: Convert to fraction form
    527.28/784.72 = 525.66/x
  3. Step 3: Cross multiply
    527.28x = 784.72 × 525.66
  4. Step 4: Simplify right side
    527.28x = 412,495.92
  5. Step 5: Solve for x
    x = 412,495.92/527.28
  6. Step 6: Final answer
    x = 782.31

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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.