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Finding the Fourth Proportional to 521.48, 780.78 and 358.04

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Solution

The fourth proportional to 521.48, 780.78 and 358.04 is: 536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.48 : 780.78 = 358.04 : x
  2. Step 2: Convert to fraction form
    521.48/780.78 = 358.04/x
  3. Step 3: Cross multiply
    521.48x = 780.78 × 358.04
  4. Step 4: Simplify right side
    521.48x = 279,550.47
  5. Step 5: Solve for x
    x = 279,550.47/521.48
  6. Step 6: Final answer
    x = 536.07

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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.