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Finding the Fourth Proportional to 811.58, 1,217.62 and 538.74

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Solution

The fourth proportional to 811.58, 1,217.62 and 538.74 is: 808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.58 : 1,217.62 = 538.74 : x
  2. Step 2: Convert to fraction form
    811.58/1,217.62 = 538.74/x
  3. Step 3: Cross multiply
    811.58x = 1,217.62 × 538.74
  4. Step 4: Simplify right side
    811.58x = 655,980.60
  5. Step 5: Solve for x
    x = 655,980.60/811.58
  6. Step 6: Final answer
    x = 808.28

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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.