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Finding the Fourth Proportional to 520.95, 782.41 and 315.89

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Solution

The fourth proportional to 520.95, 782.41 and 315.89 is: 474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.95 : 782.41 = 315.89 : x
  2. Step 2: Convert to fraction form
    520.95/782.41 = 315.89/x
  3. Step 3: Cross multiply
    520.95x = 782.41 × 315.89
  4. Step 4: Simplify right side
    520.95x = 247,155.49
  5. Step 5: Solve for x
    x = 247,155.49/520.95
  6. Step 6: Final answer
    x = 474.43

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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.