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Finding the Fourth Proportional to 1,010, 1,514.83 and 279.38

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Solution

The fourth proportional to 1,010, 1,514.83 and 279.38 is: 419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010 : 1,514.83 = 279.38 : x
  2. Step 2: Convert to fraction form
    1,010/1,514.83 = 279.38/x
  3. Step 3: Cross multiply
    1,010x = 1,514.83 × 279.38
  4. Step 4: Simplify right side
    1,010x = 423,213.21
  5. Step 5: Solve for x
    x = 423,213.21/1,010
  6. Step 6: Final answer
    x = 419.02

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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.