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Finding the Fourth Proportional to 569.02, 857.72 and 522.21

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Solution

The fourth proportional to 569.02, 857.72 and 522.21 is: 787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.02 : 857.72 = 522.21 : x
  2. Step 2: Convert to fraction form
    569.02/857.72 = 522.21/x
  3. Step 3: Cross multiply
    569.02x = 857.72 × 522.21
  4. Step 4: Simplify right side
    569.02x = 447,909.96
  5. Step 5: Solve for x
    x = 447,909.96/569.02
  6. Step 6: Final answer
    x = 787.16

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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.