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Finding the Fourth Proportional to 520.40, 784.94 and 520.40

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Solution

The fourth proportional to 520.40, 784.94 and 520.40 is: 784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.40 : 784.94 = 520.40 : x
  2. Step 2: Convert to fraction form
    520.40/784.94 = 520.40/x
  3. Step 3: Cross multiply
    520.40x = 784.94 × 520.40
  4. Step 4: Simplify right side
    520.40x = 408,482.78
  5. Step 5: Solve for x
    x = 408,482.78/520.40
  6. Step 6: Final answer
    x = 784.94

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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.