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Finding the Fourth Proportional to 651.26, 898.90 and 417.98

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Solution

The fourth proportional to 651.26, 898.90 and 417.98 is: 576.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.26 : 898.90 = 417.98 : x
  2. Step 2: Convert to fraction form
    651.26/898.90 = 417.98/x
  3. Step 3: Cross multiply
    651.26x = 898.90 × 417.98
  4. Step 4: Simplify right side
    651.26x = 375,722.22
  5. Step 5: Solve for x
    x = 375,722.22/651.26
  6. Step 6: Final answer
    x = 576.92

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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.