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Finding the Fourth Proportional to 624.13, 935.80 and 258.46

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Solution

The fourth proportional to 624.13, 935.80 and 258.46 is: 387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.13 : 935.80 = 258.46 : x
  2. Step 2: Convert to fraction form
    624.13/935.80 = 258.46/x
  3. Step 3: Cross multiply
    624.13x = 935.80 × 258.46
  4. Step 4: Simplify right side
    624.13x = 241,866.87
  5. Step 5: Solve for x
    x = 241,866.87/624.13
  6. Step 6: Final answer
    x = 387.53

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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.