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Finding the Fourth Proportional to 520.92, 778.01 and 472.08

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Solution

The fourth proportional to 520.92, 778.01 and 472.08 is: 705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.92 : 778.01 = 472.08 : x
  2. Step 2: Convert to fraction form
    520.92/778.01 = 472.08/x
  3. Step 3: Cross multiply
    520.92x = 778.01 × 472.08
  4. Step 4: Simplify right side
    520.92x = 367,280.60
  5. Step 5: Solve for x
    x = 367,280.60/520.92
  6. Step 6: Final answer
    x = 705.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.