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Finding the Fourth Proportional to 1,451.68, 2,177.76 and 573.92

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Solution

The fourth proportional to 1,451.68, 2,177.76 and 573.92 is: 860.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.68 : 2,177.76 = 573.92 : x
  2. Step 2: Convert to fraction form
    1,451.68/2,177.76 = 573.92/x
  3. Step 3: Cross multiply
    1,451.68x = 2,177.76 × 573.92
  4. Step 4: Simplify right side
    1,451.68x = 1,249,860.02
  5. Step 5: Solve for x
    x = 1,249,860.02/1,451.68
  6. Step 6: Final answer
    x = 860.97

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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.