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Finding the Fourth Proportional to 557.46, 768.99 and 360.63

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Solution

The fourth proportional to 557.46, 768.99 and 360.63 is: 497.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.46 : 768.99 = 360.63 : x
  2. Step 2: Convert to fraction form
    557.46/768.99 = 360.63/x
  3. Step 3: Cross multiply
    557.46x = 768.99 × 360.63
  4. Step 4: Simplify right side
    557.46x = 277,317.02
  5. Step 5: Solve for x
    x = 277,317.02/557.46
  6. Step 6: Final answer
    x = 497.47

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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.