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Finding the Fourth Proportional to 552.79, 762.84 and 356.65

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Solution

The fourth proportional to 552.79, 762.84 and 356.65 is: 492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.79 : 762.84 = 356.65 : x
  2. Step 2: Convert to fraction form
    552.79/762.84 = 356.65/x
  3. Step 3: Cross multiply
    552.79x = 762.84 × 356.65
  4. Step 4: Simplify right side
    552.79x = 272,066.89
  5. Step 5: Solve for x
    x = 272,066.89/552.79
  6. Step 6: Final answer
    x = 492.17

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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.