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Finding the Fourth Proportional to 565.75, 782.04 and 471.95

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Solution

The fourth proportional to 565.75, 782.04 and 471.95 is: 652.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.75 : 782.04 = 471.95 : x
  2. Step 2: Convert to fraction form
    565.75/782.04 = 471.95/x
  3. Step 3: Cross multiply
    565.75x = 782.04 × 471.95
  4. Step 4: Simplify right side
    565.75x = 369,083.63
  5. Step 5: Solve for x
    x = 369,083.63/565.75
  6. Step 6: Final answer
    x = 652.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.