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Finding the Fourth Proportional to 901.48, 1,353.02 and 463.04

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Solution

The fourth proportional to 901.48, 1,353.02 and 463.04 is: 694.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.48 : 1,353.02 = 463.04 : x
  2. Step 2: Convert to fraction form
    901.48/1,353.02 = 463.04/x
  3. Step 3: Cross multiply
    901.48x = 1,353.02 × 463.04
  4. Step 4: Simplify right side
    901.48x = 626,493.30
  5. Step 5: Solve for x
    x = 626,493.30/901.48
  6. Step 6: Final answer
    x = 694.96

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