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Finding the Fourth Proportional to 810.12, 1,214.61 and 262.46

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Solution

The fourth proportional to 810.12, 1,214.61 and 262.46 is: 393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.12 : 1,214.61 = 262.46 : x
  2. Step 2: Convert to fraction form
    810.12/1,214.61 = 262.46/x
  3. Step 3: Cross multiply
    810.12x = 1,214.61 × 262.46
  4. Step 4: Simplify right side
    810.12x = 318,780.47
  5. Step 5: Solve for x
    x = 318,780.47/810.12
  6. Step 6: Final answer
    x = 393.50

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1.5x scale

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.