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Finding the Fourth Proportional to 873.14, 1,204.56 and 541.35

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Solution

The fourth proportional to 873.14, 1,204.56 and 541.35 is: 746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.14 : 1,204.56 = 541.35 : x
  2. Step 2: Convert to fraction form
    873.14/1,204.56 = 541.35/x
  3. Step 3: Cross multiply
    873.14x = 1,204.56 × 541.35
  4. Step 4: Simplify right side
    873.14x = 652,088.56
  5. Step 5: Solve for x
    x = 652,088.56/873.14
  6. Step 6: Final answer
    x = 746.84

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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.