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Finding the Fourth Proportional to 1,306.10, 1,958.88 and 647.30

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Solution

The fourth proportional to 1,306.10, 1,958.88 and 647.30 is: 970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.10 : 1,958.88 = 647.30 : x
  2. Step 2: Convert to fraction form
    1,306.10/1,958.88 = 647.30/x
  3. Step 3: Cross multiply
    1,306.10x = 1,958.88 × 647.30
  4. Step 4: Simplify right side
    1,306.10x = 1,267,983.02
  5. Step 5: Solve for x
    x = 1,267,983.02/1,306.10
  6. Step 6: Final answer
    x = 970.82

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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.