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Finding the Fourth Proportional to 417.69, 577.13 and 331.02

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Solution

The fourth proportional to 417.69, 577.13 and 331.02 is: 457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.69 : 577.13 = 331.02 : x
  2. Step 2: Convert to fraction form
    417.69/577.13 = 331.02/x
  3. Step 3: Cross multiply
    417.69x = 577.13 × 331.02
  4. Step 4: Simplify right side
    417.69x = 191,039.92
  5. Step 5: Solve for x
    x = 191,039.92/417.69
  6. Step 6: Final answer
    x = 457.37

Related Problems

Find fourth proportional to 208.85, 288.56 and 165.51
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Double scale
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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.