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Finding the Fourth Proportional to 983.16, 1,356.80 and 590.31

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Solution

The fourth proportional to 983.16, 1,356.80 and 590.31 is: 814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.16 : 1,356.80 = 590.31 : x
  2. Step 2: Convert to fraction form
    983.16/1,356.80 = 590.31/x
  3. Step 3: Cross multiply
    983.16x = 1,356.80 × 590.31
  4. Step 4: Simplify right side
    983.16x = 800,929.66
  5. Step 5: Solve for x
    x = 800,929.66/983.16
  6. Step 6: Final answer
    x = 814.65

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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.