Home / 1,159.11-1,739.01-543.17

Finding the Fourth Proportional to 1,159.11, 1,739.01 and 543.17

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Solution

The fourth proportional to 1,159.11, 1,739.01 and 543.17 is: 814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.11 : 1,739.01 = 543.17 : x
  2. Step 2: Convert to fraction form
    1,159.11/1,739.01 = 543.17/x
  3. Step 3: Cross multiply
    1,159.11x = 1,739.01 × 543.17
  4. Step 4: Simplify right side
    1,159.11x = 944,569.37
  5. Step 5: Solve for x
    x = 944,569.37/1,159.11
  6. Step 6: Final answer
    x = 814.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.