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Finding the Fourth Proportional to 520.60, 718.86 and 346.72

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Solution

The fourth proportional to 520.60, 718.86 and 346.72 is: 478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.60 : 718.86 = 346.72 : x
  2. Step 2: Convert to fraction form
    520.60/718.86 = 346.72/x
  3. Step 3: Cross multiply
    520.60x = 718.86 × 346.72
  4. Step 4: Simplify right side
    520.60x = 249,243.14
  5. Step 5: Solve for x
    x = 249,243.14/520.60
  6. Step 6: Final answer
    x = 478.76

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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.