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Finding the Fourth Proportional to 1,162.69, 1,744.54 and 432.14

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Solution

The fourth proportional to 1,162.69, 1,744.54 and 432.14 is: 648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.69 : 1,744.54 = 432.14 : x
  2. Step 2: Convert to fraction form
    1,162.69/1,744.54 = 432.14/x
  3. Step 3: Cross multiply
    1,162.69x = 1,744.54 × 432.14
  4. Step 4: Simplify right side
    1,162.69x = 753,875.71
  5. Step 5: Solve for x
    x = 753,875.71/1,162.69
  6. Step 6: Final answer
    x = 648.39

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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.