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Finding the Fourth Proportional to 609.24, 909.48 and 564.18

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Solution

The fourth proportional to 609.24, 909.48 and 564.18 is: 842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.24 : 909.48 = 564.18 : x
  2. Step 2: Convert to fraction form
    609.24/909.48 = 564.18/x
  3. Step 3: Cross multiply
    609.24x = 909.48 × 564.18
  4. Step 4: Simplify right side
    609.24x = 513,110.43
  5. Step 5: Solve for x
    x = 513,110.43/609.24
  6. Step 6: Final answer
    x = 842.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.