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Finding the Fourth Proportional to 1,009.16, 1,513.74 and 278.79

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Solution

The fourth proportional to 1,009.16, 1,513.74 and 278.79 is: 418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.16 : 1,513.74 = 278.79 : x
  2. Step 2: Convert to fraction form
    1,009.16/1,513.74 = 278.79/x
  3. Step 3: Cross multiply
    1,009.16x = 1,513.74 × 278.79
  4. Step 4: Simplify right side
    1,009.16x = 422,017.89
  5. Step 5: Solve for x
    x = 422,017.89/1,009.16
  6. Step 6: Final answer
    x = 418.19

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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.