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Finding the Fourth Proportional to 591.11, 815.15 and 466.52

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Solution

The fourth proportional to 591.11, 815.15 and 466.52 is: 643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.11 : 815.15 = 466.52 : x
  2. Step 2: Convert to fraction form
    591.11/815.15 = 466.52/x
  3. Step 3: Cross multiply
    591.11x = 815.15 × 466.52
  4. Step 4: Simplify right side
    591.11x = 380,281.45
  5. Step 5: Solve for x
    x = 380,281.45/591.11
  6. Step 6: Final answer
    x = 643.33

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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.