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Finding the Fourth Proportional to 622.04, 931.64 and 390.38

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Solution

The fourth proportional to 622.04, 931.64 and 390.38 is: 584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.04 : 931.64 = 390.38 : x
  2. Step 2: Convert to fraction form
    622.04/931.64 = 390.38/x
  3. Step 3: Cross multiply
    622.04x = 931.64 × 390.38
  4. Step 4: Simplify right side
    622.04x = 363,687.01
  5. Step 5: Solve for x
    x = 363,687.01/622.04
  6. Step 6: Final answer
    x = 584.67

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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.