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Finding the Fourth Proportional to 620.58, 930.14 and 613.74

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Solution

The fourth proportional to 620.58, 930.14 and 613.74 is: 919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.58 : 930.14 = 613.74 : x
  2. Step 2: Convert to fraction form
    620.58/930.14 = 613.74/x
  3. Step 3: Cross multiply
    620.58x = 930.14 × 613.74
  4. Step 4: Simplify right side
    620.58x = 570,864.12
  5. Step 5: Solve for x
    x = 570,864.12/620.58
  6. Step 6: Final answer
    x = 919.89

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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.