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Finding the Fourth Proportional to 1,010.10, 1,514.85 and 393.45

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Solution

The fourth proportional to 1,010.10, 1,514.85 and 393.45 is: 590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.10 : 1,514.85 = 393.45 : x
  2. Step 2: Convert to fraction form
    1,010.10/1,514.85 = 393.45/x
  3. Step 3: Cross multiply
    1,010.10x = 1,514.85 × 393.45
  4. Step 4: Simplify right side
    1,010.10x = 596,017.73
  5. Step 5: Solve for x
    x = 596,017.73/1,010.10
  6. Step 6: Final answer
    x = 590.06

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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.