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Finding the Fourth Proportional to 575.57, 858.12 and 520.22

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Solution

The fourth proportional to 575.57, 858.12 and 520.22 is: 775.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.57 : 858.12 = 520.22 : x
  2. Step 2: Convert to fraction form
    575.57/858.12 = 520.22/x
  3. Step 3: Cross multiply
    575.57x = 858.12 × 520.22
  4. Step 4: Simplify right side
    575.57x = 446,406.90
  5. Step 5: Solve for x
    x = 446,406.90/575.57
  6. Step 6: Final answer
    x = 775.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.