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Finding the Fourth Proportional to 569.15, 857.91 and 522.34

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Solution

The fourth proportional to 569.15, 857.91 and 522.34 is: 787.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.15 : 857.91 = 522.34 : x
  2. Step 2: Convert to fraction form
    569.15/857.91 = 522.34/x
  3. Step 3: Cross multiply
    569.15x = 857.91 × 522.34
  4. Step 4: Simplify right side
    569.15x = 448,120.52
  5. Step 5: Solve for x
    x = 448,120.52/569.15
  6. Step 6: Final answer
    x = 787.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.