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Finding the Fourth Proportional to 557.48, 768.48 and 370.64

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Solution

The fourth proportional to 557.48, 768.48 and 370.64 is: 510.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.48 : 768.48 = 370.64 : x
  2. Step 2: Convert to fraction form
    557.48/768.48 = 370.64/x
  3. Step 3: Cross multiply
    557.48x = 768.48 × 370.64
  4. Step 4: Simplify right side
    557.48x = 284,829.43
  5. Step 5: Solve for x
    x = 284,829.43/557.48
  6. Step 6: Final answer
    x = 510.92

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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.