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Finding the Fourth Proportional to 557.93, 837.03 and 297.80

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Solution

The fourth proportional to 557.93, 837.03 and 297.80 is: 446.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.93 : 837.03 = 297.80 : x
  2. Step 2: Convert to fraction form
    557.93/837.03 = 297.80/x
  3. Step 3: Cross multiply
    557.93x = 837.03 × 297.80
  4. Step 4: Simplify right side
    557.93x = 249,261.86
  5. Step 5: Solve for x
    x = 249,261.86/557.93
  6. Step 6: Final answer
    x = 446.76

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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.