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Finding the Fourth Proportional to 629.04, 867.74 and 588.05

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Solution

The fourth proportional to 629.04, 867.74 and 588.05 is: 811.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.04 : 867.74 = 588.05 : x
  2. Step 2: Convert to fraction form
    629.04/867.74 = 588.05/x
  3. Step 3: Cross multiply
    629.04x = 867.74 × 588.05
  4. Step 4: Simplify right side
    629.04x = 510,267.23
  5. Step 5: Solve for x
    x = 510,267.23/629.04
  6. Step 6: Final answer
    x = 811.18

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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.