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Finding the Fourth Proportional to 522.79, 721.22 and 345.50

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Solution

The fourth proportional to 522.79, 721.22 and 345.50 is: 476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.79 : 721.22 = 345.50 : x
  2. Step 2: Convert to fraction form
    522.79/721.22 = 345.50/x
  3. Step 3: Cross multiply
    522.79x = 721.22 × 345.50
  4. Step 4: Simplify right side
    522.79x = 249,181.51
  5. Step 5: Solve for x
    x = 249,181.51/522.79
  6. Step 6: Final answer
    x = 476.64

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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.