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Finding the Fourth Proportional to 651.91, 899.56 and 465.78

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Solution

The fourth proportional to 651.91, 899.56 and 465.78 is: 642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.91 : 899.56 = 465.78 : x
  2. Step 2: Convert to fraction form
    651.91/899.56 = 465.78/x
  3. Step 3: Cross multiply
    651.91x = 899.56 × 465.78
  4. Step 4: Simplify right side
    651.91x = 418,997.06
  5. Step 5: Solve for x
    x = 418,997.06/651.91
  6. Step 6: Final answer
    x = 642.72

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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.