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Finding the Fourth Proportional to 948.16, 1,424.40 and 515.08

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Solution

The fourth proportional to 948.16, 1,424.40 and 515.08 is: 773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.16 : 1,424.40 = 515.08 : x
  2. Step 2: Convert to fraction form
    948.16/1,424.40 = 515.08/x
  3. Step 3: Cross multiply
    948.16x = 1,424.40 × 515.08
  4. Step 4: Simplify right side
    948.16x = 733,679.95
  5. Step 5: Solve for x
    x = 733,679.95/948.16
  6. Step 6: Final answer
    x = 773.79

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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.