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Finding the Fourth Proportional to 1,010.07, 1,514.99 and 462.11

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Solution

The fourth proportional to 1,010.07, 1,514.99 and 462.11 is: 693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.07 : 1,514.99 = 462.11 : x
  2. Step 2: Convert to fraction form
    1,010.07/1,514.99 = 462.11/x
  3. Step 3: Cross multiply
    1,010.07x = 1,514.99 × 462.11
  4. Step 4: Simplify right side
    1,010.07x = 700,082.14
  5. Step 5: Solve for x
    x = 700,082.14/1,010.07
  6. Step 6: Final answer
    x = 693.10

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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.