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Finding the Fourth Proportional to 417.44, 579.14 and 400.52

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Solution

The fourth proportional to 417.44, 579.14 and 400.52 is: 555.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.44 : 579.14 = 400.52 : x
  2. Step 2: Convert to fraction form
    417.44/579.14 = 400.52/x
  3. Step 3: Cross multiply
    417.44x = 579.14 × 400.52
  4. Step 4: Simplify right side
    417.44x = 231,957.15
  5. Step 5: Solve for x
    x = 231,957.15/417.44
  6. Step 6: Final answer
    x = 555.67

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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.