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Finding the Fourth Proportional to 1,010.21, 1,514.14 and 462.45

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Solution

The fourth proportional to 1,010.21, 1,514.14 and 462.45 is: 693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.21 : 1,514.14 = 462.45 : x
  2. Step 2: Convert to fraction form
    1,010.21/1,514.14 = 462.45/x
  3. Step 3: Cross multiply
    1,010.21x = 1,514.14 × 462.45
  4. Step 4: Simplify right side
    1,010.21x = 700,214.04
  5. Step 5: Solve for x
    x = 700,214.04/1,010.21
  6. Step 6: Final answer
    x = 693.14

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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.