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Finding the Fourth Proportional to 620.76, 931.44 and 415.40

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Solution

The fourth proportional to 620.76, 931.44 and 415.40 is: 623.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.76 : 931.44 = 415.40 : x
  2. Step 2: Convert to fraction form
    620.76/931.44 = 415.40/x
  3. Step 3: Cross multiply
    620.76x = 931.44 × 415.40
  4. Step 4: Simplify right side
    620.76x = 386,920.18
  5. Step 5: Solve for x
    x = 386,920.18/620.76
  6. Step 6: Final answer
    x = 623.30

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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.