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Finding the Fourth Proportional to 616.84, 926.54 and 386

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Solution

The fourth proportional to 616.84, 926.54 and 386 is: 579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.84 : 926.54 = 386 : x
  2. Step 2: Convert to fraction form
    616.84/926.54 = 386/x
  3. Step 3: Cross multiply
    616.84x = 926.54 × 386
  4. Step 4: Simplify right side
    616.84x = 357,644.44
  5. Step 5: Solve for x
    x = 357,644.44/616.84
  6. Step 6: Final answer
    x = 579.80

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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.