Home / 1,233.67-1,701.15-971.23

Finding the Fourth Proportional to 1,233.67, 1,701.15 and 971.23

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Solution

The fourth proportional to 1,233.67, 1,701.15 and 971.23 is: 1,339.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.67 : 1,701.15 = 971.23 : x
  2. Step 2: Convert to fraction form
    1,233.67/1,701.15 = 971.23/x
  3. Step 3: Cross multiply
    1,233.67x = 1,701.15 × 971.23
  4. Step 4: Simplify right side
    1,233.67x = 1,652,207.91
  5. Step 5: Solve for x
    x = 1,652,207.91/1,233.67
  6. Step 6: Final answer
    x = 1,339.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.