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Finding the Fourth Proportional to 580.26, 870.59 and 494.25

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Solution

The fourth proportional to 580.26, 870.59 and 494.25 is: 741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.26 : 870.59 = 494.25 : x
  2. Step 2: Convert to fraction form
    580.26/870.59 = 494.25/x
  3. Step 3: Cross multiply
    580.26x = 870.59 × 494.25
  4. Step 4: Simplify right side
    580.26x = 430,284.75
  5. Step 5: Solve for x
    x = 430,284.75/580.26
  6. Step 6: Final answer
    x = 741.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.