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Finding the Fourth Proportional to 629.96, 870.60 and 473.13

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Solution

The fourth proportional to 629.96, 870.60 and 473.13 is: 653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.96 : 870.60 = 473.13 : x
  2. Step 2: Convert to fraction form
    629.96/870.60 = 473.13/x
  3. Step 3: Cross multiply
    629.96x = 870.60 × 473.13
  4. Step 4: Simplify right side
    629.96x = 411,906.98
  5. Step 5: Solve for x
    x = 411,906.98/629.96
  6. Step 6: Final answer
    x = 653.87

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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.