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Finding the Fourth Proportional to 1,518.42, 2,277.55 and 422.76

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Solution

The fourth proportional to 1,518.42, 2,277.55 and 422.76 is: 634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.42 : 2,277.55 = 422.76 : x
  2. Step 2: Convert to fraction form
    1,518.42/2,277.55 = 422.76/x
  3. Step 3: Cross multiply
    1,518.42x = 2,277.55 × 422.76
  4. Step 4: Simplify right side
    1,518.42x = 962,851.34
  5. Step 5: Solve for x
    x = 962,851.34/1,518.42
  6. Step 6: Final answer
    x = 634.12

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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.