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Finding the Fourth Proportional to 859.68, 1,288.56 and 494.16

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Solution

The fourth proportional to 859.68, 1,288.56 and 494.16 is: 740.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.68 : 1,288.56 = 494.16 : x
  2. Step 2: Convert to fraction form
    859.68/1,288.56 = 494.16/x
  3. Step 3: Cross multiply
    859.68x = 1,288.56 × 494.16
  4. Step 4: Simplify right side
    859.68x = 636,754.81
  5. Step 5: Solve for x
    x = 636,754.81/859.68
  6. Step 6: Final answer
    x = 740.69

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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.