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Finding the Fourth Proportional to 557.88, 770.04 and 371.40

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Solution

The fourth proportional to 557.88, 770.04 and 371.40 is: 512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.88 : 770.04 = 371.40 : x
  2. Step 2: Convert to fraction form
    557.88/770.04 = 371.40/x
  3. Step 3: Cross multiply
    557.88x = 770.04 × 371.40
  4. Step 4: Simplify right side
    557.88x = 285,992.86
  5. Step 5: Solve for x
    x = 285,992.86/557.88
  6. Step 6: Final answer
    x = 512.64

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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.