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Finding the Fourth Proportional to 1,008.09, 1,519.16 and 946.53

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Solution

The fourth proportional to 1,008.09, 1,519.16 and 946.53 is: 1,426.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.09 : 1,519.16 = 946.53 : x
  2. Step 2: Convert to fraction form
    1,008.09/1,519.16 = 946.53/x
  3. Step 3: Cross multiply
    1,008.09x = 1,519.16 × 946.53
  4. Step 4: Simplify right side
    1,008.09x = 1,437,925.78
  5. Step 5: Solve for x
    x = 1,437,925.78/1,008.09
  6. Step 6: Final answer
    x = 1,426.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.