Home / 1,531.25-2,295.26-710.07

Finding the Fourth Proportional to 1,531.25, 2,295.26 and 710.07

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Solution

The fourth proportional to 1,531.25, 2,295.26 and 710.07 is: 1,064.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.25 : 2,295.26 = 710.07 : x
  2. Step 2: Convert to fraction form
    1,531.25/2,295.26 = 710.07/x
  3. Step 3: Cross multiply
    1,531.25x = 2,295.26 × 710.07
  4. Step 4: Simplify right side
    1,531.25x = 1,629,791.72
  5. Step 5: Solve for x
    x = 1,629,791.72/1,531.25
  6. Step 6: Final answer
    x = 1,064.36

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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.