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Finding the Fourth Proportional to 947.61, 1,306.77 and 855.30

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Solution

The fourth proportional to 947.61, 1,306.77 and 855.30 is: 1,179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.61 : 1,306.77 = 855.30 : x
  2. Step 2: Convert to fraction form
    947.61/1,306.77 = 855.30/x
  3. Step 3: Cross multiply
    947.61x = 1,306.77 × 855.30
  4. Step 4: Simplify right side
    947.61x = 1,117,682.07
  5. Step 5: Solve for x
    x = 1,117,682.07/947.61
  6. Step 6: Final answer
    x = 1,179.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.