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Finding the Fourth Proportional to 752.68, 1,038.16 and 612.80

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Solution

The fourth proportional to 752.68, 1,038.16 and 612.80 is: 845.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.68 : 1,038.16 = 612.80 : x
  2. Step 2: Convert to fraction form
    752.68/1,038.16 = 612.80/x
  3. Step 3: Cross multiply
    752.68x = 1,038.16 × 612.80
  4. Step 4: Simplify right side
    752.68x = 636,184.45
  5. Step 5: Solve for x
    x = 636,184.45/752.68
  6. Step 6: Final answer
    x = 845.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.