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Finding the Fourth Proportional to 557.78, 836.40 and 297.71

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Solution

The fourth proportional to 557.78, 836.40 and 297.71 is: 446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.78 : 836.40 = 297.71 : x
  2. Step 2: Convert to fraction form
    557.78/836.40 = 297.71/x
  3. Step 3: Cross multiply
    557.78x = 836.40 × 297.71
  4. Step 4: Simplify right side
    557.78x = 249,000.46
  5. Step 5: Solve for x
    x = 249,000.46/557.78
  6. Step 6: Final answer
    x = 446.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.