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Finding the Fourth Proportional to 651.99, 898.81 and 465.16

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Solution

The fourth proportional to 651.99, 898.81 and 465.16 is: 641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.99 : 898.81 = 465.16 : x
  2. Step 2: Convert to fraction form
    651.99/898.81 = 465.16/x
  3. Step 3: Cross multiply
    651.99x = 898.81 × 465.16
  4. Step 4: Simplify right side
    651.99x = 418,085.97
  5. Step 5: Solve for x
    x = 418,085.97/651.99
  6. Step 6: Final answer
    x = 641.25

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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.