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Finding the Fourth Proportional to 1,257.86, 1,735.32 and 864.20

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Solution

The fourth proportional to 1,257.86, 1,735.32 and 864.20 is: 1,192.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.86 : 1,735.32 = 864.20 : x
  2. Step 2: Convert to fraction form
    1,257.86/1,735.32 = 864.20/x
  3. Step 3: Cross multiply
    1,257.86x = 1,735.32 × 864.20
  4. Step 4: Simplify right side
    1,257.86x = 1,499,663.54
  5. Step 5: Solve for x
    x = 1,499,663.54/1,257.86
  6. Step 6: Final answer
    x = 1,192.23

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1.5x scale

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.