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Finding the Fourth Proportional to 522.23, 777.19 and 502.79

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Solution

The fourth proportional to 522.23, 777.19 and 502.79 is: 748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.23 : 777.19 = 502.79 : x
  2. Step 2: Convert to fraction form
    522.23/777.19 = 502.79/x
  3. Step 3: Cross multiply
    522.23x = 777.19 × 502.79
  4. Step 4: Simplify right side
    522.23x = 390,759.47
  5. Step 5: Solve for x
    x = 390,759.47/522.23
  6. Step 6: Final answer
    x = 748.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.