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Finding the Fourth Proportional to 575.02, 861.45 and 510.22

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Solution

The fourth proportional to 575.02, 861.45 and 510.22 is: 764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.02 : 861.45 = 510.22 : x
  2. Step 2: Convert to fraction form
    575.02/861.45 = 510.22/x
  3. Step 3: Cross multiply
    575.02x = 861.45 × 510.22
  4. Step 4: Simplify right side
    575.02x = 439,529.02
  5. Step 5: Solve for x
    x = 439,529.02/575.02
  6. Step 6: Final answer
    x = 764.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.