Home / 1,442.34-2,160.36-746.91

Finding the Fourth Proportional to 1,442.34, 2,160.36 and 746.91

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Solution

The fourth proportional to 1,442.34, 2,160.36 and 746.91 is: 1,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.34 : 2,160.36 = 746.91 : x
  2. Step 2: Convert to fraction form
    1,442.34/2,160.36 = 746.91/x
  3. Step 3: Cross multiply
    1,442.34x = 2,160.36 × 746.91
  4. Step 4: Simplify right side
    1,442.34x = 1,613,594.49
  5. Step 5: Solve for x
    x = 1,613,594.49/1,442.34
  6. Step 6: Final answer
    x = 1,118.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.