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Finding the Fourth Proportional to 1,010.65, 1,514.84 and 455.81

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Solution

The fourth proportional to 1,010.65, 1,514.84 and 455.81 is: 683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.65 : 1,514.84 = 455.81 : x
  2. Step 2: Convert to fraction form
    1,010.65/1,514.84 = 455.81/x
  3. Step 3: Cross multiply
    1,010.65x = 1,514.84 × 455.81
  4. Step 4: Simplify right side
    1,010.65x = 690,479.22
  5. Step 5: Solve for x
    x = 690,479.22/1,010.65
  6. Step 6: Final answer
    x = 683.20

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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.