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Finding the Fourth Proportional to 750.04, 1,125.42 and 288.04

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Solution

The fourth proportional to 750.04, 1,125.42 and 288.04 is: 432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.04 : 1,125.42 = 288.04 : x
  2. Step 2: Convert to fraction form
    750.04/1,125.42 = 288.04/x
  3. Step 3: Cross multiply
    750.04x = 1,125.42 × 288.04
  4. Step 4: Simplify right side
    750.04x = 324,165.98
  5. Step 5: Solve for x
    x = 324,165.98/750.04
  6. Step 6: Final answer
    x = 432.20

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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.