Home / 1,151.13-1,589.16-709.28

Finding the Fourth Proportional to 1,151.13, 1,589.16 and 709.28

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Solution

The fourth proportional to 1,151.13, 1,589.16 and 709.28 is: 979.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.13 : 1,589.16 = 709.28 : x
  2. Step 2: Convert to fraction form
    1,151.13/1,589.16 = 709.28/x
  3. Step 3: Cross multiply
    1,151.13x = 1,589.16 × 709.28
  4. Step 4: Simplify right side
    1,151.13x = 1,127,151.46
  5. Step 5: Solve for x
    x = 1,127,151.46/1,151.13
  6. Step 6: Final answer
    x = 979.17

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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.