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Finding the Fourth Proportional to 875.19, 1,318.91 and 788.62

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Solution

The fourth proportional to 875.19, 1,318.91 and 788.62 is: 1,188.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.19 : 1,318.91 = 788.62 : x
  2. Step 2: Convert to fraction form
    875.19/1,318.91 = 788.62/x
  3. Step 3: Cross multiply
    875.19x = 1,318.91 × 788.62
  4. Step 4: Simplify right side
    875.19x = 1,040,118.80
  5. Step 5: Solve for x
    x = 1,040,118.80/875.19
  6. Step 6: Final answer
    x = 1,188.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.