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Finding the Fourth Proportional to 948.46, 1,420.31 and 600.74

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Solution

The fourth proportional to 948.46, 1,420.31 and 600.74 is: 899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.46 : 1,420.31 = 600.74 : x
  2. Step 2: Convert to fraction form
    948.46/1,420.31 = 600.74/x
  3. Step 3: Cross multiply
    948.46x = 1,420.31 × 600.74
  4. Step 4: Simplify right side
    948.46x = 853,237.03
  5. Step 5: Solve for x
    x = 853,237.03/948.46
  6. Step 6: Final answer
    x = 899.60

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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.