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Finding the Fourth Proportional to 694.35, 1,030.77 and 665.19

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Solution

The fourth proportional to 694.35, 1,030.77 and 665.19 is: 987.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.35 : 1,030.77 = 665.19 : x
  2. Step 2: Convert to fraction form
    694.35/1,030.77 = 665.19/x
  3. Step 3: Cross multiply
    694.35x = 1,030.77 × 665.19
  4. Step 4: Simplify right side
    694.35x = 685,657.90
  5. Step 5: Solve for x
    x = 685,657.90/694.35
  6. Step 6: Final answer
    x = 987.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.