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Finding the Fourth Proportional to 609.68, 910.72 and 472.40

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Solution

The fourth proportional to 609.68, 910.72 and 472.40 is: 705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.68 : 910.72 = 472.40 : x
  2. Step 2: Convert to fraction form
    609.68/910.72 = 472.40/x
  3. Step 3: Cross multiply
    609.68x = 910.72 × 472.40
  4. Step 4: Simplify right side
    609.68x = 430,224.13
  5. Step 5: Solve for x
    x = 430,224.13/609.68
  6. Step 6: Final answer
    x = 705.66

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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.