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Finding the Fourth Proportional to 815.81, 1,125.89 and 466.57

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Solution

The fourth proportional to 815.81, 1,125.89 and 466.57 is: 643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.81 : 1,125.89 = 466.57 : x
  2. Step 2: Convert to fraction form
    815.81/1,125.89 = 466.57/x
  3. Step 3: Cross multiply
    815.81x = 1,125.89 × 466.57
  4. Step 4: Simplify right side
    815.81x = 525,303.10
  5. Step 5: Solve for x
    x = 525,303.10/815.81
  6. Step 6: Final answer
    x = 643.90

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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.