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Finding the Fourth Proportional to 879.30, 1,210.28 and 616.86

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Solution

The fourth proportional to 879.30, 1,210.28 and 616.86 is: 849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.30 : 1,210.28 = 616.86 : x
  2. Step 2: Convert to fraction form
    879.30/1,210.28 = 616.86/x
  3. Step 3: Cross multiply
    879.30x = 1,210.28 × 616.86
  4. Step 4: Simplify right side
    879.30x = 746,570.24
  5. Step 5: Solve for x
    x = 746,570.24/879.30
  6. Step 6: Final answer
    x = 849.05

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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.