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Finding the Fourth Proportional to 815.75, 1,125.77 and 466.43

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Solution

The fourth proportional to 815.75, 1,125.77 and 466.43 is: 643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.75 : 1,125.77 = 466.43 : x
  2. Step 2: Convert to fraction form
    815.75/1,125.77 = 466.43/x
  3. Step 3: Cross multiply
    815.75x = 1,125.77 × 466.43
  4. Step 4: Simplify right side
    815.75x = 525,096.88
  5. Step 5: Solve for x
    x = 525,096.88/815.75
  6. Step 6: Final answer
    x = 643.70

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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.