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Finding the Fourth Proportional to 895.17, 1,223.85 and 861.15

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Solution

The fourth proportional to 895.17, 1,223.85 and 861.15 is: 1,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.17 : 1,223.85 = 861.15 : x
  2. Step 2: Convert to fraction form
    895.17/1,223.85 = 861.15/x
  3. Step 3: Cross multiply
    895.17x = 1,223.85 × 861.15
  4. Step 4: Simplify right side
    895.17x = 1,053,918.43
  5. Step 5: Solve for x
    x = 1,053,918.43/895.17
  6. Step 6: Final answer
    x = 1,177.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.