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Finding the Fourth Proportional to 609.15, 840.35 and 478.53

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Solution

The fourth proportional to 609.15, 840.35 and 478.53 is: 660.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.15 : 840.35 = 478.53 : x
  2. Step 2: Convert to fraction form
    609.15/840.35 = 478.53/x
  3. Step 3: Cross multiply
    609.15x = 840.35 × 478.53
  4. Step 4: Simplify right side
    609.15x = 402,137.03
  5. Step 5: Solve for x
    x = 402,137.03/609.15
  6. Step 6: Final answer
    x = 660.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.