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Finding the Fourth Proportional to 983.65, 1,356.29 and 590.53

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Solution

The fourth proportional to 983.65, 1,356.29 and 590.53 is: 814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.65 : 1,356.29 = 590.53 : x
  2. Step 2: Convert to fraction form
    983.65/1,356.29 = 590.53/x
  3. Step 3: Cross multiply
    983.65x = 1,356.29 × 590.53
  4. Step 4: Simplify right side
    983.65x = 800,926.98
  5. Step 5: Solve for x
    x = 800,926.98/983.65
  6. Step 6: Final answer
    x = 814.24

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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.