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Finding the Fourth Proportional to 616.49, 848.49 and 491.75

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Solution

The fourth proportional to 616.49, 848.49 and 491.75 is: 676.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.49 : 848.49 = 491.75 : x
  2. Step 2: Convert to fraction form
    616.49/848.49 = 491.75/x
  3. Step 3: Cross multiply
    616.49x = 848.49 × 491.75
  4. Step 4: Simplify right side
    616.49x = 417,240.72
  5. Step 5: Solve for x
    x = 417,240.72/616.49
  6. Step 6: Final answer
    x = 676.81

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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.