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Finding the Fourth Proportional to 838.56, 1,157.04 and 465.46

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Solution

The fourth proportional to 838.56, 1,157.04 and 465.46 is: 642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.56 : 1,157.04 = 465.46 : x
  2. Step 2: Convert to fraction form
    838.56/1,157.04 = 465.46/x
  3. Step 3: Cross multiply
    838.56x = 1,157.04 × 465.46
  4. Step 4: Simplify right side
    838.56x = 538,555.84
  5. Step 5: Solve for x
    x = 538,555.84/838.56
  6. Step 6: Final answer
    x = 642.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.