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Finding the Fourth Proportional to 879.86, 1,312.71 and 838.58

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Solution

The fourth proportional to 879.86, 1,312.71 and 838.58 is: 1,251.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.86 : 1,312.71 = 838.58 : x
  2. Step 2: Convert to fraction form
    879.86/1,312.71 = 838.58/x
  3. Step 3: Cross multiply
    879.86x = 1,312.71 × 838.58
  4. Step 4: Simplify right side
    879.86x = 1,100,812.35
  5. Step 5: Solve for x
    x = 1,100,812.35/879.86
  6. Step 6: Final answer
    x = 1,251.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.