Home / 1,160.14-1,600.40-787.13

Finding the Fourth Proportional to 1,160.14, 1,600.40 and 787.13

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Solution

The fourth proportional to 1,160.14, 1,600.40 and 787.13 is: 1,085.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.14 : 1,600.40 = 787.13 : x
  2. Step 2: Convert to fraction form
    1,160.14/1,600.40 = 787.13/x
  3. Step 3: Cross multiply
    1,160.14x = 1,600.40 × 787.13
  4. Step 4: Simplify right side
    1,160.14x = 1,259,718.92
  5. Step 5: Solve for x
    x = 1,259,718.92/1,160.14
  6. Step 6: Final answer
    x = 1,085.84

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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.