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Finding the Fourth Proportional to 1,017.56, 1,527.74 and 524.38

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Solution

The fourth proportional to 1,017.56, 1,527.74 and 524.38 is: 787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.56 : 1,527.74 = 524.38 : x
  2. Step 2: Convert to fraction form
    1,017.56/1,527.74 = 524.38/x
  3. Step 3: Cross multiply
    1,017.56x = 1,527.74 × 524.38
  4. Step 4: Simplify right side
    1,017.56x = 801,116.30
  5. Step 5: Solve for x
    x = 801,116.30/1,017.56
  6. Step 6: Final answer
    x = 787.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.