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Finding the Fourth Proportional to 620.85, 931.74 and 458.97

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Solution

The fourth proportional to 620.85, 931.74 and 458.97 is: 688.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.85 : 931.74 = 458.97 : x
  2. Step 2: Convert to fraction form
    620.85/931.74 = 458.97/x
  3. Step 3: Cross multiply
    620.85x = 931.74 × 458.97
  4. Step 4: Simplify right side
    620.85x = 427,640.71
  5. Step 5: Solve for x
    x = 427,640.71/620.85
  6. Step 6: Final answer
    x = 688.80

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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.