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Finding the Fourth Proportional to 678.89, 1,017.41 and 353.59

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Solution

The fourth proportional to 678.89, 1,017.41 and 353.59 is: 529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.89 : 1,017.41 = 353.59 : x
  2. Step 2: Convert to fraction form
    678.89/1,017.41 = 353.59/x
  3. Step 3: Cross multiply
    678.89x = 1,017.41 × 353.59
  4. Step 4: Simplify right side
    678.89x = 359,739.15
  5. Step 5: Solve for x
    x = 359,739.15/678.89
  6. Step 6: Final answer
    x = 529.89

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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.