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Finding the Fourth Proportional to 580.40, 866.32 and 507.44

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Solution

The fourth proportional to 580.40, 866.32 and 507.44 is: 757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.40 : 866.32 = 507.44 : x
  2. Step 2: Convert to fraction form
    580.40/866.32 = 507.44/x
  3. Step 3: Cross multiply
    580.40x = 866.32 × 507.44
  4. Step 4: Simplify right side
    580.40x = 439,605.42
  5. Step 5: Solve for x
    x = 439,605.42/580.40
  6. Step 6: Final answer
    x = 757.42

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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.