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Finding the Fourth Proportional to 527.78, 784.76 and 505.91

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Solution

The fourth proportional to 527.78, 784.76 and 505.91 is: 752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.78 : 784.76 = 505.91 : x
  2. Step 2: Convert to fraction form
    527.78/784.76 = 505.91/x
  3. Step 3: Cross multiply
    527.78x = 784.76 × 505.91
  4. Step 4: Simplify right side
    527.78x = 397,017.36
  5. Step 5: Solve for x
    x = 397,017.36/527.78
  6. Step 6: Final answer
    x = 752.24

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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.