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Finding the Fourth Proportional to 417.69, 579.49 and 400.77

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Solution

The fourth proportional to 417.69, 579.49 and 400.77 is: 556.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.69 : 579.49 = 400.77 : x
  2. Step 2: Convert to fraction form
    417.69/579.49 = 400.77/x
  3. Step 3: Cross multiply
    417.69x = 579.49 × 400.77
  4. Step 4: Simplify right side
    417.69x = 232,241.21
  5. Step 5: Solve for x
    x = 232,241.21/417.69
  6. Step 6: Final answer
    x = 556.01

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Find fourth proportional to 208.85, 289.74 and 200.39
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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.