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Finding the Fourth Proportional to 620.58, 930.18 and 415.64

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Solution

The fourth proportional to 620.58, 930.18 and 415.64 is: 623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.58 : 930.18 = 415.64 : x
  2. Step 2: Convert to fraction form
    620.58/930.18 = 415.64/x
  3. Step 3: Cross multiply
    620.58x = 930.18 × 415.64
  4. Step 4: Simplify right side
    620.58x = 386,620.02
  5. Step 5: Solve for x
    x = 386,620.02/620.58
  6. Step 6: Final answer
    x = 623.00

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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.