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Finding the Fourth Proportional to 1,442, 1,991.58 and 975.44

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Solution

The fourth proportional to 1,442, 1,991.58 and 975.44 is: 1,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442 : 1,991.58 = 975.44 : x
  2. Step 2: Convert to fraction form
    1,442/1,991.58 = 975.44/x
  3. Step 3: Cross multiply
    1,442x = 1,991.58 × 975.44
  4. Step 4: Simplify right side
    1,442x = 1,942,666.80
  5. Step 5: Solve for x
    x = 1,942,666.80/1,442
  6. Step 6: Final answer
    x = 1,347.20

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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.