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Finding the Fourth Proportional to 1,030.77, 1,422.92 and 658.26

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Solution

The fourth proportional to 1,030.77, 1,422.92 and 658.26 is: 908.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.77 : 1,422.92 = 658.26 : x
  2. Step 2: Convert to fraction form
    1,030.77/1,422.92 = 658.26/x
  3. Step 3: Cross multiply
    1,030.77x = 1,422.92 × 658.26
  4. Step 4: Simplify right side
    1,030.77x = 936,652.96
  5. Step 5: Solve for x
    x = 936,652.96/1,030.77
  6. Step 6: Final answer
    x = 908.69

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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.