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Finding the Fourth Proportional to 758.12, 1,135.07 and 410.21

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Solution

The fourth proportional to 758.12, 1,135.07 and 410.21 is: 614.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.12 : 1,135.07 = 410.21 : x
  2. Step 2: Convert to fraction form
    758.12/1,135.07 = 410.21/x
  3. Step 3: Cross multiply
    758.12x = 1,135.07 × 410.21
  4. Step 4: Simplify right side
    758.12x = 465,615.01
  5. Step 5: Solve for x
    x = 465,615.01/758.12
  6. Step 6: Final answer
    x = 614.17

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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.