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Finding the Fourth Proportional to 1,117.04, 1,543.79 and 868.10

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Solution

The fourth proportional to 1,117.04, 1,543.79 and 868.10 is: 1,199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.04 : 1,543.79 = 868.10 : x
  2. Step 2: Convert to fraction form
    1,117.04/1,543.79 = 868.10/x
  3. Step 3: Cross multiply
    1,117.04x = 1,543.79 × 868.10
  4. Step 4: Simplify right side
    1,117.04x = 1,340,158.55
  5. Step 5: Solve for x
    x = 1,340,158.55/1,117.04
  6. Step 6: Final answer
    x = 1,199.75

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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.