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Finding the Fourth Proportional to 620.52, 931.20 and 415.47

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Solution

The fourth proportional to 620.52, 931.20 and 415.47 is: 623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.52 : 931.20 = 415.47 : x
  2. Step 2: Convert to fraction form
    620.52/931.20 = 415.47/x
  3. Step 3: Cross multiply
    620.52x = 931.20 × 415.47
  4. Step 4: Simplify right side
    620.52x = 386,885.66
  5. Step 5: Solve for x
    x = 386,885.66/620.52
  6. Step 6: Final answer
    x = 623.49

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1.5x scale

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.