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Finding the Fourth Proportional to 947.25, 1,307.52 and 633.06

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Solution

The fourth proportional to 947.25, 1,307.52 and 633.06 is: 873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.25 : 1,307.52 = 633.06 : x
  2. Step 2: Convert to fraction form
    947.25/1,307.52 = 633.06/x
  3. Step 3: Cross multiply
    947.25x = 1,307.52 × 633.06
  4. Step 4: Simplify right side
    947.25x = 827,738.61
  5. Step 5: Solve for x
    x = 827,738.61/947.25
  6. Step 6: Final answer
    x = 873.83

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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.