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Finding the Fourth Proportional to 1,010.19, 1,515.31 and 279.76

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Solution

The fourth proportional to 1,010.19, 1,515.31 and 279.76 is: 419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.19 : 1,515.31 = 279.76 : x
  2. Step 2: Convert to fraction form
    1,010.19/1,515.31 = 279.76/x
  3. Step 3: Cross multiply
    1,010.19x = 1,515.31 × 279.76
  4. Step 4: Simplify right side
    1,010.19x = 423,923.13
  5. Step 5: Solve for x
    x = 423,923.13/1,010.19
  6. Step 6: Final answer
    x = 419.65

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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.