Home / 1,010.26-1,514.08-461.23

Finding the Fourth Proportional to 1,010.26, 1,514.08 and 461.23

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Solution

The fourth proportional to 1,010.26, 1,514.08 and 461.23 is: 691.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.26 : 1,514.08 = 461.23 : x
  2. Step 2: Convert to fraction form
    1,010.26/1,514.08 = 461.23/x
  3. Step 3: Cross multiply
    1,010.26x = 1,514.08 × 461.23
  4. Step 4: Simplify right side
    1,010.26x = 698,333.03
  5. Step 5: Solve for x
    x = 698,333.03/1,010.26
  6. Step 6: Final answer
    x = 691.24

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Double scale
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1.5x scale

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.