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Finding the Fourth Proportional to 616.84, 851.61 and 384.28

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Solution

The fourth proportional to 616.84, 851.61 and 384.28 is: 530.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.84 : 851.61 = 384.28 : x
  2. Step 2: Convert to fraction form
    616.84/851.61 = 384.28/x
  3. Step 3: Cross multiply
    616.84x = 851.61 × 384.28
  4. Step 4: Simplify right side
    616.84x = 327,256.69
  5. Step 5: Solve for x
    x = 327,256.69/616.84
  6. Step 6: Final answer
    x = 530.54

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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.