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Finding the Fourth Proportional to 424.26, 581.94 and 417.38

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Solution

The fourth proportional to 424.26, 581.94 and 417.38 is: 572.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.26 : 581.94 = 417.38 : x
  2. Step 2: Convert to fraction form
    424.26/581.94 = 417.38/x
  3. Step 3: Cross multiply
    424.26x = 581.94 × 417.38
  4. Step 4: Simplify right side
    424.26x = 242,890.12
  5. Step 5: Solve for x
    x = 242,890.12/424.26
  6. Step 6: Final answer
    x = 572.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.