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Finding the Fourth Proportional to 873.30, 1,204.74 and 610.86

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Solution

The fourth proportional to 873.30, 1,204.74 and 610.86 is: 842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.30 : 1,204.74 = 610.86 : x
  2. Step 2: Convert to fraction form
    873.30/1,204.74 = 610.86/x
  3. Step 3: Cross multiply
    873.30x = 1,204.74 × 610.86
  4. Step 4: Simplify right side
    873.30x = 735,927.48
  5. Step 5: Solve for x
    x = 735,927.48/873.30
  6. Step 6: Final answer
    x = 842.70

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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.