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Finding the Fourth Proportional to 842.02, 1,161.74 and 527.59

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Solution

The fourth proportional to 842.02, 1,161.74 and 527.59 is: 727.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.02 : 1,161.74 = 527.59 : x
  2. Step 2: Convert to fraction form
    842.02/1,161.74 = 527.59/x
  3. Step 3: Cross multiply
    842.02x = 1,161.74 × 527.59
  4. Step 4: Simplify right side
    842.02x = 612,925.18
  5. Step 5: Solve for x
    x = 612,925.18/842.02
  6. Step 6: Final answer
    x = 727.92

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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.