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Finding the Fourth Proportional to 947.95, 1,308.10 and 593.85

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Solution

The fourth proportional to 947.95, 1,308.10 and 593.85 is: 819.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.95 : 1,308.10 = 593.85 : x
  2. Step 2: Convert to fraction form
    947.95/1,308.10 = 593.85/x
  3. Step 3: Cross multiply
    947.95x = 1,308.10 × 593.85
  4. Step 4: Simplify right side
    947.95x = 776,815.19
  5. Step 5: Solve for x
    x = 776,815.19/947.95
  6. Step 6: Final answer
    x = 819.47

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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.