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Finding the Fourth Proportional to 650.51, 976.40 and 465.63

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Solution

The fourth proportional to 650.51, 976.40 and 465.63 is: 698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.51 : 976.40 = 465.63 : x
  2. Step 2: Convert to fraction form
    650.51/976.40 = 465.63/x
  3. Step 3: Cross multiply
    650.51x = 976.40 × 465.63
  4. Step 4: Simplify right side
    650.51x = 454,641.13
  5. Step 5: Solve for x
    x = 454,641.13/650.51
  6. Step 6: Final answer
    x = 698.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.