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Finding the Fourth Proportional to 948.76, 1,422.01 and 509.39

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Solution

The fourth proportional to 948.76, 1,422.01 and 509.39 is: 763.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.76 : 1,422.01 = 509.39 : x
  2. Step 2: Convert to fraction form
    948.76/1,422.01 = 509.39/x
  3. Step 3: Cross multiply
    948.76x = 1,422.01 × 509.39
  4. Step 4: Simplify right side
    948.76x = 724,353.67
  5. Step 5: Solve for x
    x = 724,353.67/948.76
  6. Step 6: Final answer
    x = 763.47

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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.