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Finding the Fourth Proportional to 995.83, 1,494.65 and 509.22

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Solution

The fourth proportional to 995.83, 1,494.65 and 509.22 is: 764.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.83 : 1,494.65 = 509.22 : x
  2. Step 2: Convert to fraction form
    995.83/1,494.65 = 509.22/x
  3. Step 3: Cross multiply
    995.83x = 1,494.65 × 509.22
  4. Step 4: Simplify right side
    995.83x = 761,106.95
  5. Step 5: Solve for x
    x = 761,106.95/995.83
  6. Step 6: Final answer
    x = 764.30

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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.