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Finding the Fourth Proportional to 568.06, 780.17 and 502.48

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Solution

The fourth proportional to 568.06, 780.17 and 502.48 is: 690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.06 : 780.17 = 502.48 : x
  2. Step 2: Convert to fraction form
    568.06/780.17 = 502.48/x
  3. Step 3: Cross multiply
    568.06x = 780.17 × 502.48
  4. Step 4: Simplify right side
    568.06x = 392,019.82
  5. Step 5: Solve for x
    x = 392,019.82/568.06
  6. Step 6: Final answer
    x = 690.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.