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Finding the Fourth Proportional to 626.51, 864.55 and 346.74

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Solution

The fourth proportional to 626.51, 864.55 and 346.74 is: 478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.51 : 864.55 = 346.74 : x
  2. Step 2: Convert to fraction form
    626.51/864.55 = 346.74/x
  3. Step 3: Cross multiply
    626.51x = 864.55 × 346.74
  4. Step 4: Simplify right side
    626.51x = 299,774.93
  5. Step 5: Solve for x
    x = 299,774.93/626.51
  6. Step 6: Final answer
    x = 478.49

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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.