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Finding the Fourth Proportional to 569.32, 857.09 and 520.87

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Solution

The fourth proportional to 569.32, 857.09 and 520.87 is: 784.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.32 : 857.09 = 520.87 : x
  2. Step 2: Convert to fraction form
    569.32/857.09 = 520.87/x
  3. Step 3: Cross multiply
    569.32x = 857.09 × 520.87
  4. Step 4: Simplify right side
    569.32x = 446,432.47
  5. Step 5: Solve for x
    x = 446,432.47/569.32
  6. Step 6: Final answer
    x = 784.15

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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.