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Finding the Fourth Proportional to 583.70, 803.21 and 580.10

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Solution

The fourth proportional to 583.70, 803.21 and 580.10 is: 798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.70 : 803.21 = 580.10 : x
  2. Step 2: Convert to fraction form
    583.70/803.21 = 580.10/x
  3. Step 3: Cross multiply
    583.70x = 803.21 × 580.10
  4. Step 4: Simplify right side
    583.70x = 465,942.12
  5. Step 5: Solve for x
    x = 465,942.12/583.70
  6. Step 6: Final answer
    x = 798.26

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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.