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Finding the Fourth Proportional to 591.78, 815.22 and 460.56

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Solution

The fourth proportional to 591.78, 815.22 and 460.56 is: 634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.78 : 815.22 = 460.56 : x
  2. Step 2: Convert to fraction form
    591.78/815.22 = 460.56/x
  3. Step 3: Cross multiply
    591.78x = 815.22 × 460.56
  4. Step 4: Simplify right side
    591.78x = 375,457.72
  5. Step 5: Solve for x
    x = 375,457.72/591.78
  6. Step 6: Final answer
    x = 634.45

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1.5x scale

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.