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Finding the Fourth Proportional to 708.77, 1,058.23 and 665.03

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Solution

The fourth proportional to 708.77, 1,058.23 and 665.03 is: 992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.77 : 1,058.23 = 665.03 : x
  2. Step 2: Convert to fraction form
    708.77/1,058.23 = 665.03/x
  3. Step 3: Cross multiply
    708.77x = 1,058.23 × 665.03
  4. Step 4: Simplify right side
    708.77x = 703,754.70
  5. Step 5: Solve for x
    x = 703,754.70/708.77
  6. Step 6: Final answer
    x = 992.92

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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.