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Finding the Fourth Proportional to 647.39, 970.77 and 230.78

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Solution

The fourth proportional to 647.39, 970.77 and 230.78 is: 346.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.39 : 970.77 = 230.78 : x
  2. Step 2: Convert to fraction form
    647.39/970.77 = 230.78/x
  3. Step 3: Cross multiply
    647.39x = 970.77 × 230.78
  4. Step 4: Simplify right side
    647.39x = 224,034.30
  5. Step 5: Solve for x
    x = 224,034.30/647.39
  6. Step 6: Final answer
    x = 346.06

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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.