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Finding the Fourth Proportional to 699.03, 965.12 and 477.90

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Solution

The fourth proportional to 699.03, 965.12 and 477.90 is: 659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.03 : 965.12 = 477.90 : x
  2. Step 2: Convert to fraction form
    699.03/965.12 = 477.90/x
  3. Step 3: Cross multiply
    699.03x = 965.12 × 477.90
  4. Step 4: Simplify right side
    699.03x = 461,228.46
  5. Step 5: Solve for x
    x = 461,228.46/699.03
  6. Step 6: Final answer
    x = 659.81

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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.