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Finding the Fourth Proportional to 477.77, 659.34 and 312.28

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Solution

The fourth proportional to 477.77, 659.34 and 312.28 is: 430.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.77 : 659.34 = 312.28 : x
  2. Step 2: Convert to fraction form
    477.77/659.34 = 312.28/x
  3. Step 3: Cross multiply
    477.77x = 659.34 × 312.28
  4. Step 4: Simplify right side
    477.77x = 205,898.90
  5. Step 5: Solve for x
    x = 205,898.90/477.77
  6. Step 6: Final answer
    x = 430.96

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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.