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Finding the Fourth Proportional to 675.93, 1,013.69 and 342.52

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Solution

The fourth proportional to 675.93, 1,013.69 and 342.52 is: 513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.93 : 1,013.69 = 342.52 : x
  2. Step 2: Convert to fraction form
    675.93/1,013.69 = 342.52/x
  3. Step 3: Cross multiply
    675.93x = 1,013.69 × 342.52
  4. Step 4: Simplify right side
    675.93x = 347,211.45
  5. Step 5: Solve for x
    x = 347,211.45/675.93
  6. Step 6: Final answer
    x = 513.68

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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.