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Finding the Fourth Proportional to 610.90, 914.19 and 353.14

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Solution

The fourth proportional to 610.90, 914.19 and 353.14 is: 528.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.90 : 914.19 = 353.14 : x
  2. Step 2: Convert to fraction form
    610.90/914.19 = 353.14/x
  3. Step 3: Cross multiply
    610.90x = 914.19 × 353.14
  4. Step 4: Simplify right side
    610.90x = 322,837.06
  5. Step 5: Solve for x
    x = 322,837.06/610.90
  6. Step 6: Final answer
    x = 528.46

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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.