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Finding the Fourth Proportional to 624.04, 935.18 and 392.82

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Solution

The fourth proportional to 624.04, 935.18 and 392.82 is: 588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.04 : 935.18 = 392.82 : x
  2. Step 2: Convert to fraction form
    624.04/935.18 = 392.82/x
  3. Step 3: Cross multiply
    624.04x = 935.18 × 392.82
  4. Step 4: Simplify right side
    624.04x = 367,353.41
  5. Step 5: Solve for x
    x = 367,353.41/624.04
  6. Step 6: Final answer
    x = 588.67

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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.