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Finding the Fourth Proportional to 713.20, 1,065.28 and 568.48

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Solution

The fourth proportional to 713.20, 1,065.28 and 568.48 is: 849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.20 : 1,065.28 = 568.48 : x
  2. Step 2: Convert to fraction form
    713.20/1,065.28 = 568.48/x
  3. Step 3: Cross multiply
    713.20x = 1,065.28 × 568.48
  4. Step 4: Simplify right side
    713.20x = 605,590.37
  5. Step 5: Solve for x
    x = 605,590.37/713.20
  6. Step 6: Final answer
    x = 849.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.