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Finding the Fourth Proportional to 858.92, 1,185.35 and 522.73

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Solution

The fourth proportional to 858.92, 1,185.35 and 522.73 is: 721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.92 : 1,185.35 = 522.73 : x
  2. Step 2: Convert to fraction form
    858.92/1,185.35 = 522.73/x
  3. Step 3: Cross multiply
    858.92x = 1,185.35 × 522.73
  4. Step 4: Simplify right side
    858.92x = 619,612.43
  5. Step 5: Solve for x
    x = 619,612.43/858.92
  6. Step 6: Final answer
    x = 721.38

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Half scale
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Double scale
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1.5x scale

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.