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Finding the Fourth Proportional to 975.47, 1,338.98 and 862.47

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Solution

The fourth proportional to 975.47, 1,338.98 and 862.47 is: 1,183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.47 : 1,338.98 = 862.47 : x
  2. Step 2: Convert to fraction form
    975.47/1,338.98 = 862.47/x
  3. Step 3: Cross multiply
    975.47x = 1,338.98 × 862.47
  4. Step 4: Simplify right side
    975.47x = 1,154,825.77
  5. Step 5: Solve for x
    x = 1,154,825.77/975.47
  6. Step 6: Final answer
    x = 1,183.87

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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.