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Finding the Fourth Proportional to 983.78, 1,357.41 and 590.66

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Solution

The fourth proportional to 983.78, 1,357.41 and 590.66 is: 814.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.78 : 1,357.41 = 590.66 : x
  2. Step 2: Convert to fraction form
    983.78/1,357.41 = 590.66/x
  3. Step 3: Cross multiply
    983.78x = 1,357.41 × 590.66
  4. Step 4: Simplify right side
    983.78x = 801,767.79
  5. Step 5: Solve for x
    x = 801,767.79/983.78
  6. Step 6: Final answer
    x = 814.99

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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.