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Finding the Fourth Proportional to 576.84, 864.96 and 345.78

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Solution

The fourth proportional to 576.84, 864.96 and 345.78 is: 518.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.84 : 864.96 = 345.78 : x
  2. Step 2: Convert to fraction form
    576.84/864.96 = 345.78/x
  3. Step 3: Cross multiply
    576.84x = 864.96 × 345.78
  4. Step 4: Simplify right side
    576.84x = 299,085.87
  5. Step 5: Solve for x
    x = 299,085.87/576.84
  6. Step 6: Final answer
    x = 518.49

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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.