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Finding the Fourth Proportional to 752.52, 1,038.40 and 420.94

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Solution

The fourth proportional to 752.52, 1,038.40 and 420.94 is: 580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.52 : 1,038.40 = 420.94 : x
  2. Step 2: Convert to fraction form
    752.52/1,038.40 = 420.94/x
  3. Step 3: Cross multiply
    752.52x = 1,038.40 × 420.94
  4. Step 4: Simplify right side
    752.52x = 437,099.40
  5. Step 5: Solve for x
    x = 437,099.40/752.52
  6. Step 6: Final answer
    x = 580.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.