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Finding the Fourth Proportional to 1,132.04, 1,561.74 and 689.84

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Solution

The fourth proportional to 1,132.04, 1,561.74 and 689.84 is: 951.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.04 : 1,561.74 = 689.84 : x
  2. Step 2: Convert to fraction form
    1,132.04/1,561.74 = 689.84/x
  3. Step 3: Cross multiply
    1,132.04x = 1,561.74 × 689.84
  4. Step 4: Simplify right side
    1,132.04x = 1,077,350.72
  5. Step 5: Solve for x
    x = 1,077,350.72/1,132.04
  6. Step 6: Final answer
    x = 951.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.