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Finding the Fourth Proportional to 591.30, 815.94 and 342.77

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Solution

The fourth proportional to 591.30, 815.94 and 342.77 is: 472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.30 : 815.94 = 342.77 : x
  2. Step 2: Convert to fraction form
    591.30/815.94 = 342.77/x
  3. Step 3: Cross multiply
    591.30x = 815.94 × 342.77
  4. Step 4: Simplify right side
    591.30x = 279,675.67
  5. Step 5: Solve for x
    x = 279,675.67/591.30
  6. Step 6: Final answer
    x = 472.98

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Double scale
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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.