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Finding the Fourth Proportional to 1,543.80, 2,317.76 and 895

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Solution

The fourth proportional to 1,543.80, 2,317.76 and 895 is: 1,343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,543.80 : 2,317.76 = 895 : x
  2. Step 2: Convert to fraction form
    1,543.80/2,317.76 = 895/x
  3. Step 3: Cross multiply
    1,543.80x = 2,317.76 × 895
  4. Step 4: Simplify right side
    1,543.80x = 2,074,395.20
  5. Step 5: Solve for x
    x = 2,074,395.20/1,543.80
  6. Step 6: Final answer
    x = 1,343.69

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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.