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Finding the Fourth Proportional to 878.30, 1,320.15 and 829.70

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Solution

The fourth proportional to 878.30, 1,320.15 and 829.70 is: 1,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.30 : 1,320.15 = 829.70 : x
  2. Step 2: Convert to fraction form
    878.30/1,320.15 = 829.70/x
  3. Step 3: Cross multiply
    878.30x = 1,320.15 × 829.70
  4. Step 4: Simplify right side
    878.30x = 1,095,328.46
  5. Step 5: Solve for x
    x = 1,095,328.46/878.30
  6. Step 6: Final answer
    x = 1,247.10

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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.