Home / 1,577.69-2,177.19-869.49

Finding the Fourth Proportional to 1,577.69, 2,177.19 and 869.49

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Solution

The fourth proportional to 1,577.69, 2,177.19 and 869.49 is: 1,199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.69 : 2,177.19 = 869.49 : x
  2. Step 2: Convert to fraction form
    1,577.69/2,177.19 = 869.49/x
  3. Step 3: Cross multiply
    1,577.69x = 2,177.19 × 869.49
  4. Step 4: Simplify right side
    1,577.69x = 1,893,044.93
  5. Step 5: Solve for x
    x = 1,893,044.93/1,577.69
  6. Step 6: Final answer
    x = 1,199.89

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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.