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Finding the Fourth Proportional to 520.92, 784.08 and 434.88

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Solution

The fourth proportional to 520.92, 784.08 and 434.88 is: 654.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.92 : 784.08 = 434.88 : x
  2. Step 2: Convert to fraction form
    520.92/784.08 = 434.88/x
  3. Step 3: Cross multiply
    520.92x = 784.08 × 434.88
  4. Step 4: Simplify right side
    520.92x = 340,980.71
  5. Step 5: Solve for x
    x = 340,980.71/520.92
  6. Step 6: Final answer
    x = 654.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.