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Finding the Fourth Proportional to 501.78, 693.18 and 397.56

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Solution

The fourth proportional to 501.78, 693.18 and 397.56 is: 549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.78 : 693.18 = 397.56 : x
  2. Step 2: Convert to fraction form
    501.78/693.18 = 397.56/x
  3. Step 3: Cross multiply
    501.78x = 693.18 × 397.56
  4. Step 4: Simplify right side
    501.78x = 275,580.64
  5. Step 5: Solve for x
    x = 275,580.64/501.78
  6. Step 6: Final answer
    x = 549.21

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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.