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Finding the Fourth Proportional to 521.69, 719.39 and 346.73

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Solution

The fourth proportional to 521.69, 719.39 and 346.73 is: 478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.69 : 719.39 = 346.73 : x
  2. Step 2: Convert to fraction form
    521.69/719.39 = 346.73/x
  3. Step 3: Cross multiply
    521.69x = 719.39 × 346.73
  4. Step 4: Simplify right side
    521.69x = 249,432.36
  5. Step 5: Solve for x
    x = 249,432.36/521.69
  6. Step 6: Final answer
    x = 478.12

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1.5x scale

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.