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Finding the Fourth Proportional to 837.68, 1,155.76 and 501.54

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Solution

The fourth proportional to 837.68, 1,155.76 and 501.54 is: 691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.68 : 1,155.76 = 501.54 : x
  2. Step 2: Convert to fraction form
    837.68/1,155.76 = 501.54/x
  3. Step 3: Cross multiply
    837.68x = 1,155.76 × 501.54
  4. Step 4: Simplify right side
    837.68x = 579,659.87
  5. Step 5: Solve for x
    x = 579,659.87/837.68
  6. Step 6: Final answer
    x = 691.98

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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.