Home / 1,298.62-1,782.56-1,147.96

Finding the Fourth Proportional to 1,298.62, 1,782.56 and 1,147.96

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Solution

The fourth proportional to 1,298.62, 1,782.56 and 1,147.96 is: 1,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.62 : 1,782.56 = 1,147.96 : x
  2. Step 2: Convert to fraction form
    1,298.62/1,782.56 = 1,147.96/x
  3. Step 3: Cross multiply
    1,298.62x = 1,782.56 × 1,147.96
  4. Step 4: Simplify right side
    1,298.62x = 2,046,307.58
  5. Step 5: Solve for x
    x = 2,046,307.58/1,298.62
  6. Step 6: Final answer
    x = 1,575.76

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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.