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Finding the Fourth Proportional to 477.82, 659.45 and 312.51

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Solution

The fourth proportional to 477.82, 659.45 and 312.51 is: 431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.82 : 659.45 = 312.51 : x
  2. Step 2: Convert to fraction form
    477.82/659.45 = 312.51/x
  3. Step 3: Cross multiply
    477.82x = 659.45 × 312.51
  4. Step 4: Simplify right side
    477.82x = 206,083.16
  5. Step 5: Solve for x
    x = 206,083.16/477.82
  6. Step 6: Final answer
    x = 431.30

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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.