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Finding the Fourth Proportional to 752.98, 1,127.67 and 478.21

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Solution

The fourth proportional to 752.98, 1,127.67 and 478.21 is: 716.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.98 : 1,127.67 = 478.21 : x
  2. Step 2: Convert to fraction form
    752.98/1,127.67 = 478.21/x
  3. Step 3: Cross multiply
    752.98x = 1,127.67 × 478.21
  4. Step 4: Simplify right side
    752.98x = 539,263.07
  5. Step 5: Solve for x
    x = 539,263.07/752.98
  6. Step 6: Final answer
    x = 716.17

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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.