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Finding the Fourth Proportional to 901.11, 1,351.95 and 510.78

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Solution

The fourth proportional to 901.11, 1,351.95 and 510.78 is: 766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.11 : 1,351.95 = 510.78 : x
  2. Step 2: Convert to fraction form
    901.11/1,351.95 = 510.78/x
  3. Step 3: Cross multiply
    901.11x = 1,351.95 × 510.78
  4. Step 4: Simplify right side
    901.11x = 690,549.02
  5. Step 5: Solve for x
    x = 690,549.02/901.11
  6. Step 6: Final answer
    x = 766.33

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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.