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Finding the Fourth Proportional to 708.93, 1,064.58 and 565.56

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Solution

The fourth proportional to 708.93, 1,064.58 and 565.56 is: 849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.93 : 1,064.58 = 565.56 : x
  2. Step 2: Convert to fraction form
    708.93/1,064.58 = 565.56/x
  3. Step 3: Cross multiply
    708.93x = 1,064.58 × 565.56
  4. Step 4: Simplify right side
    708.93x = 602,083.86
  5. Step 5: Solve for x
    x = 602,083.86/708.93
  6. Step 6: Final answer
    x = 849.29

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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.