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Finding the Fourth Proportional to 931.73, 1,285.78 and 506.35

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Solution

The fourth proportional to 931.73, 1,285.78 and 506.35 is: 698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.73 : 1,285.78 = 506.35 : x
  2. Step 2: Convert to fraction form
    931.73/1,285.78 = 506.35/x
  3. Step 3: Cross multiply
    931.73x = 1,285.78 × 506.35
  4. Step 4: Simplify right side
    931.73x = 651,054.70
  5. Step 5: Solve for x
    x = 651,054.70/931.73
  6. Step 6: Final answer
    x = 698.76

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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.