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Finding the Fourth Proportional to 630.37, 944.44 and 538.13

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Solution

The fourth proportional to 630.37, 944.44 and 538.13 is: 806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.37 : 944.44 = 538.13 : x
  2. Step 2: Convert to fraction form
    630.37/944.44 = 538.13/x
  3. Step 3: Cross multiply
    630.37x = 944.44 × 538.13
  4. Step 4: Simplify right side
    630.37x = 508,232.51
  5. Step 5: Solve for x
    x = 508,232.51/630.37
  6. Step 6: Final answer
    x = 806.25

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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.