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Finding the Fourth Proportional to 527.40, 784.17 and 527.40

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Solution

The fourth proportional to 527.40, 784.17 and 527.40 is: 784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.40 : 784.17 = 527.40 : x
  2. Step 2: Convert to fraction form
    527.40/784.17 = 527.40/x
  3. Step 3: Cross multiply
    527.40x = 784.17 × 527.40
  4. Step 4: Simplify right side
    527.40x = 413,571.26
  5. Step 5: Solve for x
    x = 413,571.26/527.40
  6. Step 6: Final answer
    x = 784.17

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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.