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Finding the Fourth Proportional to 610.34, 914.98 and 317.23

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Solution

The fourth proportional to 610.34, 914.98 and 317.23 is: 475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.34 : 914.98 = 317.23 : x
  2. Step 2: Convert to fraction form
    610.34/914.98 = 317.23/x
  3. Step 3: Cross multiply
    610.34x = 914.98 × 317.23
  4. Step 4: Simplify right side
    610.34x = 290,256.02
  5. Step 5: Solve for x
    x = 290,256.02/610.34
  6. Step 6: Final answer
    x = 475.56

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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.