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Finding the Fourth Proportional to 948.78, 1,309.26 and 534.78

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Solution

The fourth proportional to 948.78, 1,309.26 and 534.78 is: 737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.78 : 1,309.26 = 534.78 : x
  2. Step 2: Convert to fraction form
    948.78/1,309.26 = 534.78/x
  3. Step 3: Cross multiply
    948.78x = 1,309.26 × 534.78
  4. Step 4: Simplify right side
    948.78x = 700,166.06
  5. Step 5: Solve for x
    x = 700,166.06/948.78
  6. Step 6: Final answer
    x = 737.96

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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.