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Finding the Fourth Proportional to 616.83, 848.87 and 596.78

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Solution

The fourth proportional to 616.83, 848.87 and 596.78 is: 821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.83 : 848.87 = 596.78 : x
  2. Step 2: Convert to fraction form
    616.83/848.87 = 596.78/x
  3. Step 3: Cross multiply
    616.83x = 848.87 × 596.78
  4. Step 4: Simplify right side
    616.83x = 506,581.41
  5. Step 5: Solve for x
    x = 506,581.41/616.83
  6. Step 6: Final answer
    x = 821.27

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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.