Home / 1,117.17-1,541.77-767.25

Finding the Fourth Proportional to 1,117.17, 1,541.77 and 767.25

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Solution

The fourth proportional to 1,117.17, 1,541.77 and 767.25 is: 1,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.17 : 1,541.77 = 767.25 : x
  2. Step 2: Convert to fraction form
    1,117.17/1,541.77 = 767.25/x
  3. Step 3: Cross multiply
    1,117.17x = 1,541.77 × 767.25
  4. Step 4: Simplify right side
    1,117.17x = 1,182,921.11
  5. Step 5: Solve for x
    x = 1,182,921.11/1,117.17
  6. Step 6: Final answer
    x = 1,058.86

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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.