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Finding the Fourth Proportional to 878.12, 1,210.06 and 746.90

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Solution

The fourth proportional to 878.12, 1,210.06 and 746.90 is: 1,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.12 : 1,210.06 = 746.90 : x
  2. Step 2: Convert to fraction form
    878.12/1,210.06 = 746.90/x
  3. Step 3: Cross multiply
    878.12x = 1,210.06 × 746.90
  4. Step 4: Simplify right side
    878.12x = 903,793.81
  5. Step 5: Solve for x
    x = 903,793.81/878.12
  6. Step 6: Final answer
    x = 1,029.24

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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.