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Finding the Fourth Proportional to 948.22, 1,421.02 and 485.01

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Solution

The fourth proportional to 948.22, 1,421.02 and 485.01 is: 726.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.22 : 1,421.02 = 485.01 : x
  2. Step 2: Convert to fraction form
    948.22/1,421.02 = 485.01/x
  3. Step 3: Cross multiply
    948.22x = 1,421.02 × 485.01
  4. Step 4: Simplify right side
    948.22x = 689,207.70
  5. Step 5: Solve for x
    x = 689,207.70/948.22
  6. Step 6: Final answer
    x = 726.85

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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.