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Finding the Fourth Proportional to 583.25, 870.60 and 514.05

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Solution

The fourth proportional to 583.25, 870.60 and 514.05 is: 767.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.25 : 870.60 = 514.05 : x
  2. Step 2: Convert to fraction form
    583.25/870.60 = 514.05/x
  3. Step 3: Cross multiply
    583.25x = 870.60 × 514.05
  4. Step 4: Simplify right side
    583.25x = 447,531.93
  5. Step 5: Solve for x
    x = 447,531.93/583.25
  6. Step 6: Final answer
    x = 767.31

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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.