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Finding the Fourth Proportional to 815.77, 1,125.38 and 466.25

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Solution

The fourth proportional to 815.77, 1,125.38 and 466.25 is: 643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.77 : 1,125.38 = 466.25 : x
  2. Step 2: Convert to fraction form
    815.77/1,125.38 = 466.25/x
  3. Step 3: Cross multiply
    815.77x = 1,125.38 × 466.25
  4. Step 4: Simplify right side
    815.77x = 524,706.09
  5. Step 5: Solve for x
    x = 524,706.09/815.77
  6. Step 6: Final answer
    x = 643.21

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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.