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Finding the Fourth Proportional to 522.80, 782.08 and 477.20

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Solution

The fourth proportional to 522.80, 782.08 and 477.20 is: 713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.80 : 782.08 = 477.20 : x
  2. Step 2: Convert to fraction form
    522.80/782.08 = 477.20/x
  3. Step 3: Cross multiply
    522.80x = 782.08 × 477.20
  4. Step 4: Simplify right side
    522.80x = 373,208.58
  5. Step 5: Solve for x
    x = 373,208.58/522.80
  6. Step 6: Final answer
    x = 713.86

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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.