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Finding the Fourth Proportional to 1,147.32, 1,582.74 and 748.80

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Solution

The fourth proportional to 1,147.32, 1,582.74 and 748.80 is: 1,032.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.32 : 1,582.74 = 748.80 : x
  2. Step 2: Convert to fraction form
    1,147.32/1,582.74 = 748.80/x
  3. Step 3: Cross multiply
    1,147.32x = 1,582.74 × 748.80
  4. Step 4: Simplify right side
    1,147.32x = 1,185,159.19
  5. Step 5: Solve for x
    x = 1,185,159.19/1,147.32
  6. Step 6: Final answer
    x = 1,032.98

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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.