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Finding the Fourth Proportional to 895.13, 1,332.91 and 862.33

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Solution

The fourth proportional to 895.13, 1,332.91 and 862.33 is: 1,284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.13 : 1,332.91 = 862.33 : x
  2. Step 2: Convert to fraction form
    895.13/1,332.91 = 862.33/x
  3. Step 3: Cross multiply
    895.13x = 1,332.91 × 862.33
  4. Step 4: Simplify right side
    895.13x = 1,149,408.28
  5. Step 5: Solve for x
    x = 1,149,408.28/895.13
  6. Step 6: Final answer
    x = 1,284.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.