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Finding the Fourth Proportional to 521.36, 780.97 and 260.58

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Solution

The fourth proportional to 521.36, 780.97 and 260.58 is: 390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.36 : 780.97 = 260.58 : x
  2. Step 2: Convert to fraction form
    521.36/780.97 = 260.58/x
  3. Step 3: Cross multiply
    521.36x = 780.97 × 260.58
  4. Step 4: Simplify right side
    521.36x = 203,505.16
  5. Step 5: Solve for x
    x = 203,505.16/521.36
  6. Step 6: Final answer
    x = 390.34

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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.