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Finding the Fourth Proportional to 620.13, 931.05 and 402.12

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Solution

The fourth proportional to 620.13, 931.05 and 402.12 is: 603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.13 : 931.05 = 402.12 : x
  2. Step 2: Convert to fraction form
    620.13/931.05 = 402.12/x
  3. Step 3: Cross multiply
    620.13x = 931.05 × 402.12
  4. Step 4: Simplify right side
    620.13x = 374,393.83
  5. Step 5: Solve for x
    x = 374,393.83/620.13
  6. Step 6: Final answer
    x = 603.73

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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.