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Finding the Fourth Proportional to 600.40, 896.24 and 527.50

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Solution

The fourth proportional to 600.40, 896.24 and 527.50 is: 787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.40 : 896.24 = 527.50 : x
  2. Step 2: Convert to fraction form
    600.40/896.24 = 527.50/x
  3. Step 3: Cross multiply
    600.40x = 896.24 × 527.50
  4. Step 4: Simplify right side
    600.40x = 472,766.60
  5. Step 5: Solve for x
    x = 472,766.60/600.40
  6. Step 6: Final answer
    x = 787.42

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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.