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Finding the Fourth Proportional to 624.77, 935.93 and 407.69

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Solution

The fourth proportional to 624.77, 935.93 and 407.69 is: 610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.77 : 935.93 = 407.69 : x
  2. Step 2: Convert to fraction form
    624.77/935.93 = 407.69/x
  3. Step 3: Cross multiply
    624.77x = 935.93 × 407.69
  4. Step 4: Simplify right side
    624.77x = 381,569.30
  5. Step 5: Solve for x
    x = 381,569.30/624.77
  6. Step 6: Final answer
    x = 610.74

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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.