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Finding the Fourth Proportional to 477.74, 659.18 and 312.19

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Solution

The fourth proportional to 477.74, 659.18 and 312.19 is: 430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.74 : 659.18 = 312.19 : x
  2. Step 2: Convert to fraction form
    477.74/659.18 = 312.19/x
  3. Step 3: Cross multiply
    477.74x = 659.18 × 312.19
  4. Step 4: Simplify right side
    477.74x = 205,788.67
  5. Step 5: Solve for x
    x = 205,788.67/477.74
  6. Step 6: Final answer
    x = 430.76

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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.