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Finding the Fourth Proportional to 624.45, 938.38 and 583.81

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Solution

The fourth proportional to 624.45, 938.38 and 583.81 is: 877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.45 : 938.38 = 583.81 : x
  2. Step 2: Convert to fraction form
    624.45/938.38 = 583.81/x
  3. Step 3: Cross multiply
    624.45x = 938.38 × 583.81
  4. Step 4: Simplify right side
    624.45x = 547,831.82
  5. Step 5: Solve for x
    x = 547,831.82/624.45
  6. Step 6: Final answer
    x = 877.30

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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.