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Finding the Fourth Proportional to 577.84, 867.30 and 414.76

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Solution

The fourth proportional to 577.84, 867.30 and 414.76 is: 622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.84 : 867.30 = 414.76 : x
  2. Step 2: Convert to fraction form
    577.84/867.30 = 414.76/x
  3. Step 3: Cross multiply
    577.84x = 867.30 × 414.76
  4. Step 4: Simplify right side
    577.84x = 359,721.35
  5. Step 5: Solve for x
    x = 359,721.35/577.84
  6. Step 6: Final answer
    x = 622.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.