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Finding the Fourth Proportional to 708.16, 1,057.91 and 564.04

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Solution

The fourth proportional to 708.16, 1,057.91 and 564.04 is: 842.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.16 : 1,057.91 = 564.04 : x
  2. Step 2: Convert to fraction form
    708.16/1,057.91 = 564.04/x
  3. Step 3: Cross multiply
    708.16x = 1,057.91 × 564.04
  4. Step 4: Simplify right side
    708.16x = 596,703.56
  5. Step 5: Solve for x
    x = 596,703.56/708.16
  6. Step 6: Final answer
    x = 842.61

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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.