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Finding the Fourth Proportional to 477.73, 659.00 and 312.11

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Solution

The fourth proportional to 477.73, 659.00 and 312.11 is: 430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.73 : 659.00 = 312.11 : x
  2. Step 2: Convert to fraction form
    477.73/659.00 = 312.11/x
  3. Step 3: Cross multiply
    477.73x = 659.00 × 312.11
  4. Step 4: Simplify right side
    477.73x = 205,677.98
  5. Step 5: Solve for x
    x = 205,677.98/477.73
  6. Step 6: Final answer
    x = 430.53

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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.