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Finding the Fourth Proportional to 859.16, 1,290.30 and 824.36

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Solution

The fourth proportional to 859.16, 1,290.30 and 824.36 is: 1,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.16 : 1,290.30 = 824.36 : x
  2. Step 2: Convert to fraction form
    859.16/1,290.30 = 824.36/x
  3. Step 3: Cross multiply
    859.16x = 1,290.30 × 824.36
  4. Step 4: Simplify right side
    859.16x = 1,063,671.71
  5. Step 5: Solve for x
    x = 1,063,671.71/859.16
  6. Step 6: Final answer
    x = 1,238.04

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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.