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Finding the Fourth Proportional to 546.08, 817.66 and 313.79

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Solution

The fourth proportional to 546.08, 817.66 and 313.79 is: 469.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.08 : 817.66 = 313.79 : x
  2. Step 2: Convert to fraction form
    546.08/817.66 = 313.79/x
  3. Step 3: Cross multiply
    546.08x = 817.66 × 313.79
  4. Step 4: Simplify right side
    546.08x = 256,569.84
  5. Step 5: Solve for x
    x = 256,569.84/546.08
  6. Step 6: Final answer
    x = 469.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.