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Finding the Fourth Proportional to 521.64, 720.09 and 346.68

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Solution

The fourth proportional to 521.64, 720.09 and 346.68 is: 478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.64 : 720.09 = 346.68 : x
  2. Step 2: Convert to fraction form
    521.64/720.09 = 346.68/x
  3. Step 3: Cross multiply
    521.64x = 720.09 × 346.68
  4. Step 4: Simplify right side
    521.64x = 249,640.80
  5. Step 5: Solve for x
    x = 249,640.80/521.64
  6. Step 6: Final answer
    x = 478.57

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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.