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Finding the Fourth Proportional to 1,577.94, 2,177.53 and 869.74

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Solution

The fourth proportional to 1,577.94, 2,177.53 and 869.74 is: 1,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.94 : 2,177.53 = 869.74 : x
  2. Step 2: Convert to fraction form
    1,577.94/2,177.53 = 869.74/x
  3. Step 3: Cross multiply
    1,577.94x = 2,177.53 × 869.74
  4. Step 4: Simplify right side
    1,577.94x = 1,893,884.94
  5. Step 5: Solve for x
    x = 1,893,884.94/1,577.94
  6. Step 6: Final answer
    x = 1,200.23

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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.