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Finding the Fourth Proportional to 518.45, 780.52 and 473.09

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Solution

The fourth proportional to 518.45, 780.52 and 473.09 is: 712.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.45 : 780.52 = 473.09 : x
  2. Step 2: Convert to fraction form
    518.45/780.52 = 473.09/x
  3. Step 3: Cross multiply
    518.45x = 780.52 × 473.09
  4. Step 4: Simplify right side
    518.45x = 369,253.84
  5. Step 5: Solve for x
    x = 369,253.84/518.45
  6. Step 6: Final answer
    x = 712.23

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.