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Finding the Fourth Proportional to 931.74, 1,285.72 and 512.09

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Solution

The fourth proportional to 931.74, 1,285.72 and 512.09 is: 706.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.74 : 1,285.72 = 512.09 : x
  2. Step 2: Convert to fraction form
    931.74/1,285.72 = 512.09/x
  3. Step 3: Cross multiply
    931.74x = 1,285.72 × 512.09
  4. Step 4: Simplify right side
    931.74x = 658,404.35
  5. Step 5: Solve for x
    x = 658,404.35/931.74
  6. Step 6: Final answer
    x = 706.64

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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.