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Finding the Fourth Proportional to 838.58, 1,157.09 and 465.44

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Solution

The fourth proportional to 838.58, 1,157.09 and 465.44 is: 642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.58 : 1,157.09 = 465.44 : x
  2. Step 2: Convert to fraction form
    838.58/1,157.09 = 465.44/x
  3. Step 3: Cross multiply
    838.58x = 1,157.09 × 465.44
  4. Step 4: Simplify right side
    838.58x = 538,547.86
  5. Step 5: Solve for x
    x = 538,547.86/838.58
  6. Step 6: Final answer
    x = 642.22

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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.