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Finding the Fourth Proportional to 653.87, 902.36 and 417.61

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Solution

The fourth proportional to 653.87, 902.36 and 417.61 is: 576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.87 : 902.36 = 417.61 : x
  2. Step 2: Convert to fraction form
    653.87/902.36 = 417.61/x
  3. Step 3: Cross multiply
    653.87x = 902.36 × 417.61
  4. Step 4: Simplify right side
    653.87x = 376,827.96
  5. Step 5: Solve for x
    x = 376,827.96/653.87
  6. Step 6: Final answer
    x = 576.30

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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.