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Finding the Fourth Proportional to 626.51, 864.52 and 346.70

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Solution

The fourth proportional to 626.51, 864.52 and 346.70 is: 478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.51 : 864.52 = 346.70 : x
  2. Step 2: Convert to fraction form
    626.51/864.52 = 346.70/x
  3. Step 3: Cross multiply
    626.51x = 864.52 × 346.70
  4. Step 4: Simplify right side
    626.51x = 299,731.68
  5. Step 5: Solve for x
    x = 299,731.68/626.51
  6. Step 6: Final answer
    x = 478.41

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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.