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Finding the Fourth Proportional to 752.79, 1,038.09 and 566.29

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Solution

The fourth proportional to 752.79, 1,038.09 and 566.29 is: 780.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.79 : 1,038.09 = 566.29 : x
  2. Step 2: Convert to fraction form
    752.79/1,038.09 = 566.29/x
  3. Step 3: Cross multiply
    752.79x = 1,038.09 × 566.29
  4. Step 4: Simplify right side
    752.79x = 587,859.99
  5. Step 5: Solve for x
    x = 587,859.99/752.79
  6. Step 6: Final answer
    x = 780.91

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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.