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Finding the Fourth Proportional to 895.03, 1,339.62 and 862.92

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Solution

The fourth proportional to 895.03, 1,339.62 and 862.92 is: 1,291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.03 : 1,339.62 = 862.92 : x
  2. Step 2: Convert to fraction form
    895.03/1,339.62 = 862.92/x
  3. Step 3: Cross multiply
    895.03x = 1,339.62 × 862.92
  4. Step 4: Simplify right side
    895.03x = 1,155,978.19
  5. Step 5: Solve for x
    x = 1,155,978.19/895.03
  6. Step 6: Final answer
    x = 1,291.56

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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.