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Finding the Fourth Proportional to 521.93, 720.33 and 478.19

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Solution

The fourth proportional to 521.93, 720.33 and 478.19 is: 659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.93 : 720.33 = 478.19 : x
  2. Step 2: Convert to fraction form
    521.93/720.33 = 478.19/x
  3. Step 3: Cross multiply
    521.93x = 720.33 × 478.19
  4. Step 4: Simplify right side
    521.93x = 344,454.60
  5. Step 5: Solve for x
    x = 344,454.60/521.93
  6. Step 6: Final answer
    x = 659.96

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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.