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Finding the Fourth Proportional to 577.35, 862.66 and 507.05

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Solution

The fourth proportional to 577.35, 862.66 and 507.05 is: 757.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.35 : 862.66 = 507.05 : x
  2. Step 2: Convert to fraction form
    577.35/862.66 = 507.05/x
  3. Step 3: Cross multiply
    577.35x = 862.66 × 507.05
  4. Step 4: Simplify right side
    577.35x = 437,411.75
  5. Step 5: Solve for x
    x = 437,411.75/577.35
  6. Step 6: Final answer
    x = 757.62

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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.