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Finding the Fourth Proportional to 664.19, 994.74 and 508.93

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Solution

The fourth proportional to 664.19, 994.74 and 508.93 is: 762.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.19 : 994.74 = 508.93 : x
  2. Step 2: Convert to fraction form
    664.19/994.74 = 508.93/x
  3. Step 3: Cross multiply
    664.19x = 994.74 × 508.93
  4. Step 4: Simplify right side
    664.19x = 506,257.81
  5. Step 5: Solve for x
    x = 506,257.81/664.19
  6. Step 6: Final answer
    x = 762.22

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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.