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Finding the Fourth Proportional to 415.02, 571.01 and 404.77

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Solution

The fourth proportional to 415.02, 571.01 and 404.77 is: 556.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.02 : 571.01 = 404.77 : x
  2. Step 2: Convert to fraction form
    415.02/571.01 = 404.77/x
  3. Step 3: Cross multiply
    415.02x = 571.01 × 404.77
  4. Step 4: Simplify right side
    415.02x = 231,126.18
  5. Step 5: Solve for x
    x = 231,126.18/415.02
  6. Step 6: Final answer
    x = 556.91

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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.