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Finding the Fourth Proportional to 1,132.60, 1,698.31 and 402.07

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Solution

The fourth proportional to 1,132.60, 1,698.31 and 402.07 is: 602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.60 : 1,698.31 = 402.07 : x
  2. Step 2: Convert to fraction form
    1,132.60/1,698.31 = 402.07/x
  3. Step 3: Cross multiply
    1,132.60x = 1,698.31 × 402.07
  4. Step 4: Simplify right side
    1,132.60x = 682,839.50
  5. Step 5: Solve for x
    x = 682,839.50/1,132.60
  6. Step 6: Final answer
    x = 602.90

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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.