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Finding the Fourth Proportional to 1,561.55, 2,154.85 and 862.88

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Solution

The fourth proportional to 1,561.55, 2,154.85 and 862.88 is: 1,190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,561.55 : 2,154.85 = 862.88 : x
  2. Step 2: Convert to fraction form
    1,561.55/2,154.85 = 862.88/x
  3. Step 3: Cross multiply
    1,561.55x = 2,154.85 × 862.88
  4. Step 4: Simplify right side
    1,561.55x = 1,859,364.04
  5. Step 5: Solve for x
    x = 1,859,364.04/1,561.55
  6. Step 6: Final answer
    x = 1,190.72

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