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Finding the Fourth Proportional to 417.77, 623.67 and 363.11

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Solution

The fourth proportional to 417.77, 623.67 and 363.11 is: 542.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.77 : 623.67 = 363.11 : x
  2. Step 2: Convert to fraction form
    417.77/623.67 = 363.11/x
  3. Step 3: Cross multiply
    417.77x = 623.67 × 363.11
  4. Step 4: Simplify right side
    417.77x = 226,460.81
  5. Step 5: Solve for x
    x = 226,460.81/417.77
  6. Step 6: Final answer
    x = 542.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.