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Finding the Fourth Proportional to 616.73, 851.30 and 368.13

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Solution

The fourth proportional to 616.73, 851.30 and 368.13 is: 508.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.73 : 851.30 = 368.13 : x
  2. Step 2: Convert to fraction form
    616.73/851.30 = 368.13/x
  3. Step 3: Cross multiply
    616.73x = 851.30 × 368.13
  4. Step 4: Simplify right side
    616.73x = 313,389.07
  5. Step 5: Solve for x
    x = 313,389.07/616.73
  6. Step 6: Final answer
    x = 508.15

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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.