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Finding the Fourth Proportional to 520.36, 780.56 and 348.16

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Solution

The fourth proportional to 520.36, 780.56 and 348.16 is: 522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.36 : 780.56 = 348.16 : x
  2. Step 2: Convert to fraction form
    520.36/780.56 = 348.16/x
  3. Step 3: Cross multiply
    520.36x = 780.56 × 348.16
  4. Step 4: Simplify right side
    520.36x = 271,759.77
  5. Step 5: Solve for x
    x = 271,759.77/520.36
  6. Step 6: Final answer
    x = 522.25

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.