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Finding the Fourth Proportional to 873.31, 1,204.28 and 578.47

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Solution

The fourth proportional to 873.31, 1,204.28 and 578.47 is: 797.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.31 : 1,204.28 = 578.47 : x
  2. Step 2: Convert to fraction form
    873.31/1,204.28 = 578.47/x
  3. Step 3: Cross multiply
    873.31x = 1,204.28 × 578.47
  4. Step 4: Simplify right side
    873.31x = 696,636.96
  5. Step 5: Solve for x
    x = 696,636.96/873.31
  6. Step 6: Final answer
    x = 797.70

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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.