Home / 1,130.19-1,694.49-545.16

Finding the Fourth Proportional to 1,130.19, 1,694.49 and 545.16

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Solution

The fourth proportional to 1,130.19, 1,694.49 and 545.16 is: 817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.19 : 1,694.49 = 545.16 : x
  2. Step 2: Convert to fraction form
    1,130.19/1,694.49 = 545.16/x
  3. Step 3: Cross multiply
    1,130.19x = 1,694.49 × 545.16
  4. Step 4: Simplify right side
    1,130.19x = 923,768.17
  5. Step 5: Solve for x
    x = 923,768.17/1,130.19
  6. Step 6: Final answer
    x = 817.36

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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.