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Finding the Fourth Proportional to 809.90, 1,116.69 and 703.99

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Solution

The fourth proportional to 809.90, 1,116.69 and 703.99 is: 970.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.90 : 1,116.69 = 703.99 : x
  2. Step 2: Convert to fraction form
    809.90/1,116.69 = 703.99/x
  3. Step 3: Cross multiply
    809.90x = 1,116.69 × 703.99
  4. Step 4: Simplify right side
    809.90x = 786,137.35
  5. Step 5: Solve for x
    x = 786,137.35/809.90
  6. Step 6: Final answer
    x = 970.66

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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.