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Finding the Fourth Proportional to 521.80, 718.94 and 346.84

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Solution

The fourth proportional to 521.80, 718.94 and 346.84 is: 477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.80 : 718.94 = 346.84 : x
  2. Step 2: Convert to fraction form
    521.80/718.94 = 346.84/x
  3. Step 3: Cross multiply
    521.80x = 718.94 × 346.84
  4. Step 4: Simplify right side
    521.80x = 249,357.15
  5. Step 5: Solve for x
    x = 249,357.15/521.80
  6. Step 6: Final answer
    x = 477.88

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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.