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Finding the Fourth Proportional to 948.31, 1,308.68 and 534.31

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Solution

The fourth proportional to 948.31, 1,308.68 and 534.31 is: 737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.31 : 1,308.68 = 534.31 : x
  2. Step 2: Convert to fraction form
    948.31/1,308.68 = 534.31/x
  3. Step 3: Cross multiply
    948.31x = 1,308.68 × 534.31
  4. Step 4: Simplify right side
    948.31x = 699,240.81
  5. Step 5: Solve for x
    x = 699,240.81/948.31
  6. Step 6: Final answer
    x = 737.35

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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.