Home / 1,032.26-1,545.65-740.09

Finding the Fourth Proportional to 1,032.26, 1,545.65 and 740.09

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Solution

The fourth proportional to 1,032.26, 1,545.65 and 740.09 is: 1,108.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.26 : 1,545.65 = 740.09 : x
  2. Step 2: Convert to fraction form
    1,032.26/1,545.65 = 740.09/x
  3. Step 3: Cross multiply
    1,032.26x = 1,545.65 × 740.09
  4. Step 4: Simplify right side
    1,032.26x = 1,143,920.11
  5. Step 5: Solve for x
    x = 1,143,920.11/1,032.26
  6. Step 6: Final answer
    x = 1,108.17

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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.