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Finding the Fourth Proportional to 995.88, 1,494.51 and 580.10

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Solution

The fourth proportional to 995.88, 1,494.51 and 580.10 is: 870.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.88 : 1,494.51 = 580.10 : x
  2. Step 2: Convert to fraction form
    995.88/1,494.51 = 580.10/x
  3. Step 3: Cross multiply
    995.88x = 1,494.51 × 580.10
  4. Step 4: Simplify right side
    995.88x = 866,965.25
  5. Step 5: Solve for x
    x = 866,965.25/995.88
  6. Step 6: Final answer
    x = 870.55

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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.