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Finding the Fourth Proportional to 948.18, 1,420.44 and 461.58

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Solution

The fourth proportional to 948.18, 1,420.44 and 461.58 is: 691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.18 : 1,420.44 = 461.58 : x
  2. Step 2: Convert to fraction form
    948.18/1,420.44 = 461.58/x
  3. Step 3: Cross multiply
    948.18x = 1,420.44 × 461.58
  4. Step 4: Simplify right side
    948.18x = 655,646.70
  5. Step 5: Solve for x
    x = 655,646.70/948.18
  6. Step 6: Final answer
    x = 691.48

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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.