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Finding the Fourth Proportional to 522.01, 782.78 and 471.13

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Solution

The fourth proportional to 522.01, 782.78 and 471.13 is: 706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.01 : 782.78 = 471.13 : x
  2. Step 2: Convert to fraction form
    522.01/782.78 = 471.13/x
  3. Step 3: Cross multiply
    522.01x = 782.78 × 471.13
  4. Step 4: Simplify right side
    522.01x = 368,786.83
  5. Step 5: Solve for x
    x = 368,786.83/522.01
  6. Step 6: Final answer
    x = 706.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.