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Finding the Fourth Proportional to 1,007.86, 1,391.60 and 869.47

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Solution

The fourth proportional to 1,007.86, 1,391.60 and 869.47 is: 1,200.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.86 : 1,391.60 = 869.47 : x
  2. Step 2: Convert to fraction form
    1,007.86/1,391.60 = 869.47/x
  3. Step 3: Cross multiply
    1,007.86x = 1,391.60 × 869.47
  4. Step 4: Simplify right side
    1,007.86x = 1,209,954.45
  5. Step 5: Solve for x
    x = 1,209,954.45/1,007.86
  6. Step 6: Final answer
    x = 1,200.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.