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Finding the Fourth Proportional to 651.23, 898.25 and 464.93

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Solution

The fourth proportional to 651.23, 898.25 and 464.93 is: 641.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.23 : 898.25 = 464.93 : x
  2. Step 2: Convert to fraction form
    651.23/898.25 = 464.93/x
  3. Step 3: Cross multiply
    651.23x = 898.25 × 464.93
  4. Step 4: Simplify right side
    651.23x = 417,623.37
  5. Step 5: Solve for x
    x = 417,623.37/651.23
  6. Step 6: Final answer
    x = 641.28

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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.