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Finding the Fourth Proportional to 569.59, 782.63 and 452.95

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Solution

The fourth proportional to 569.59, 782.63 and 452.95 is: 622.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.59 : 782.63 = 452.95 : x
  2. Step 2: Convert to fraction form
    569.59/782.63 = 452.95/x
  3. Step 3: Cross multiply
    569.59x = 782.63 × 452.95
  4. Step 4: Simplify right side
    569.59x = 354,492.26
  5. Step 5: Solve for x
    x = 354,492.26/569.59
  6. Step 6: Final answer
    x = 622.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.