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Finding the Fourth Proportional to 629.83, 870.31 and 505.29

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Solution

The fourth proportional to 629.83, 870.31 and 505.29 is: 698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.83 : 870.31 = 505.29 : x
  2. Step 2: Convert to fraction form
    629.83/870.31 = 505.29/x
  3. Step 3: Cross multiply
    629.83x = 870.31 × 505.29
  4. Step 4: Simplify right side
    629.83x = 439,758.94
  5. Step 5: Solve for x
    x = 439,758.94/629.83
  6. Step 6: Final answer
    x = 698.22

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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.