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Finding the Fourth Proportional to 1,132.79, 1,698.51 and 671.09

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Solution

The fourth proportional to 1,132.79, 1,698.51 and 671.09 is: 1,006.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.79 : 1,698.51 = 671.09 : x
  2. Step 2: Convert to fraction form
    1,132.79/1,698.51 = 671.09/x
  3. Step 3: Cross multiply
    1,132.79x = 1,698.51 × 671.09
  4. Step 4: Simplify right side
    1,132.79x = 1,139,853.08
  5. Step 5: Solve for x
    x = 1,139,853.08/1,132.79
  6. Step 6: Final answer
    x = 1,006.24

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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.