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Finding the Fourth Proportional to 859.68, 1,287.12 and 493.92

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Solution

The fourth proportional to 859.68, 1,287.12 and 493.92 is: 739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.68 : 1,287.12 = 493.92 : x
  2. Step 2: Convert to fraction form
    859.68/1,287.12 = 493.92/x
  3. Step 3: Cross multiply
    859.68x = 1,287.12 × 493.92
  4. Step 4: Simplify right side
    859.68x = 635,734.31
  5. Step 5: Solve for x
    x = 635,734.31/859.68
  6. Step 6: Final answer
    x = 739.50

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Half scale
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Double scale
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1.5x scale

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.