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Finding the Fourth Proportional to 878.92, 1,212.51 and 564.10

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Solution

The fourth proportional to 878.92, 1,212.51 and 564.10 is: 778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.92 : 1,212.51 = 564.10 : x
  2. Step 2: Convert to fraction form
    878.92/1,212.51 = 564.10/x
  3. Step 3: Cross multiply
    878.92x = 1,212.51 × 564.10
  4. Step 4: Simplify right side
    878.92x = 683,976.89
  5. Step 5: Solve for x
    x = 683,976.89/878.92
  6. Step 6: Final answer
    x = 778.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.