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Finding the Fourth Proportional to 1,132.80, 1,699.50 and 402.48

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Solution

The fourth proportional to 1,132.80, 1,699.50 and 402.48 is: 603.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.80 : 1,699.50 = 402.48 : x
  2. Step 2: Convert to fraction form
    1,132.80/1,699.50 = 402.48/x
  3. Step 3: Cross multiply
    1,132.80x = 1,699.50 × 402.48
  4. Step 4: Simplify right side
    1,132.80x = 684,014.76
  5. Step 5: Solve for x
    x = 684,014.76/1,132.80
  6. Step 6: Final answer
    x = 603.83

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Why These Related Problems?

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