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Finding the Fourth Proportional to 948.21, 1,422.59 and 688.47

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Solution

The fourth proportional to 948.21, 1,422.59 and 688.47 is: 1,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.21 : 1,422.59 = 688.47 : x
  2. Step 2: Convert to fraction form
    948.21/1,422.59 = 688.47/x
  3. Step 3: Cross multiply
    948.21x = 1,422.59 × 688.47
  4. Step 4: Simplify right side
    948.21x = 979,407.09
  5. Step 5: Solve for x
    x = 979,407.09/948.21
  6. Step 6: Final answer
    x = 1,032.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.