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Finding the Fourth Proportional to 651.52, 899.40 and 418.78

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Solution

The fourth proportional to 651.52, 899.40 and 418.78 is: 578.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.52 : 899.40 = 418.78 : x
  2. Step 2: Convert to fraction form
    651.52/899.40 = 418.78/x
  3. Step 3: Cross multiply
    651.52x = 899.40 × 418.78
  4. Step 4: Simplify right side
    651.52x = 376,650.73
  5. Step 5: Solve for x
    x = 376,650.73/651.52
  6. Step 6: Final answer
    x = 578.11

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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.