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Finding the Fourth Proportional to 491.50, 677.73 and 404.02

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Solution

The fourth proportional to 491.50, 677.73 and 404.02 is: 557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.50 : 677.73 = 404.02 : x
  2. Step 2: Convert to fraction form
    491.50/677.73 = 404.02/x
  3. Step 3: Cross multiply
    491.50x = 677.73 × 404.02
  4. Step 4: Simplify right side
    491.50x = 273,816.47
  5. Step 5: Solve for x
    x = 273,816.47/491.50
  6. Step 6: Final answer
    x = 557.10

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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.