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Finding the Fourth Proportional to 583.25, 870.17 and 519.26

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Solution

The fourth proportional to 583.25, 870.17 and 519.26 is: 774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.25 : 870.17 = 519.26 : x
  2. Step 2: Convert to fraction form
    583.25/870.17 = 519.26/x
  3. Step 3: Cross multiply
    583.25x = 870.17 × 519.26
  4. Step 4: Simplify right side
    583.25x = 451,837.53
  5. Step 5: Solve for x
    x = 451,837.53/583.25
  6. Step 6: Final answer
    x = 774.70

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.