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Finding the Fourth Proportional to 810.22, 1,214.61 and 467.50

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Solution

The fourth proportional to 810.22, 1,214.61 and 467.50 is: 700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.22 : 1,214.61 = 467.50 : x
  2. Step 2: Convert to fraction form
    810.22/1,214.61 = 467.50/x
  3. Step 3: Cross multiply
    810.22x = 1,214.61 × 467.50
  4. Step 4: Simplify right side
    810.22x = 567,830.18
  5. Step 5: Solve for x
    x = 567,830.18/810.22
  6. Step 6: Final answer
    x = 700.83

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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.