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Finding the Fourth Proportional to 879.79, 1,320.33 and 417.56

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Solution

The fourth proportional to 879.79, 1,320.33 and 417.56 is: 626.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.79 : 1,320.33 = 417.56 : x
  2. Step 2: Convert to fraction form
    879.79/1,320.33 = 417.56/x
  3. Step 3: Cross multiply
    879.79x = 1,320.33 × 417.56
  4. Step 4: Simplify right side
    879.79x = 551,314.91
  5. Step 5: Solve for x
    x = 551,314.91/879.79
  6. Step 6: Final answer
    x = 626.65

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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.