Home / 1,531.49-2,297.13-710.42

Finding the Fourth Proportional to 1,531.49, 2,297.13 and 710.42

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Solution

The fourth proportional to 1,531.49, 2,297.13 and 710.42 is: 1,065.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.49 : 2,297.13 = 710.42 : x
  2. Step 2: Convert to fraction form
    1,531.49/2,297.13 = 710.42/x
  3. Step 3: Cross multiply
    1,531.49x = 2,297.13 × 710.42
  4. Step 4: Simplify right side
    1,531.49x = 1,631,927.09
  5. Step 5: Solve for x
    x = 1,631,927.09/1,531.49
  6. Step 6: Final answer
    x = 1,065.58

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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.