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Finding the Fourth Proportional to 878.07, 1,315.54 and 782.73

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Solution

The fourth proportional to 878.07, 1,315.54 and 782.73 is: 1,172.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.07 : 1,315.54 = 782.73 : x
  2. Step 2: Convert to fraction form
    878.07/1,315.54 = 782.73/x
  3. Step 3: Cross multiply
    878.07x = 1,315.54 × 782.73
  4. Step 4: Simplify right side
    878.07x = 1,029,712.62
  5. Step 5: Solve for x
    x = 1,029,712.62/878.07
  6. Step 6: Final answer
    x = 1,172.70

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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.