Home / 1,655.87-2,287.31-1,160.15

Finding the Fourth Proportional to 1,655.87, 2,287.31 and 1,160.15

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Solution

The fourth proportional to 1,655.87, 2,287.31 and 1,160.15 is: 1,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.87 : 2,287.31 = 1,160.15 : x
  2. Step 2: Convert to fraction form
    1,655.87/2,287.31 = 1,160.15/x
  3. Step 3: Cross multiply
    1,655.87x = 2,287.31 × 1,160.15
  4. Step 4: Simplify right side
    1,655.87x = 2,653,605.46
  5. Step 5: Solve for x
    x = 2,653,605.46/1,655.87
  6. Step 6: Final answer
    x = 1,602.55

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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.