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Finding the Fourth Proportional to 404.76, 562.53 and 400.44

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Solution

The fourth proportional to 404.76, 562.53 and 400.44 is: 556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.76 : 562.53 = 400.44 : x
  2. Step 2: Convert to fraction form
    404.76/562.53 = 400.44/x
  3. Step 3: Cross multiply
    404.76x = 562.53 × 400.44
  4. Step 4: Simplify right side
    404.76x = 225,259.51
  5. Step 5: Solve for x
    x = 225,259.51/404.76
  6. Step 6: Final answer
    x = 556.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.