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Finding the Fourth Proportional to 616.19, 851.86 and 590.37

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Solution

The fourth proportional to 616.19, 851.86 and 590.37 is: 816.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.19 : 851.86 = 590.37 : x
  2. Step 2: Convert to fraction form
    616.19/851.86 = 590.37/x
  3. Step 3: Cross multiply
    616.19x = 851.86 × 590.37
  4. Step 4: Simplify right side
    616.19x = 502,911.11
  5. Step 5: Solve for x
    x = 502,911.11/616.19
  6. Step 6: Final answer
    x = 816.17

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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.