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Finding the Fourth Proportional to 580.34, 798.96 and 502.66

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Solution

The fourth proportional to 580.34, 798.96 and 502.66 is: 692.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.34 : 798.96 = 502.66 : x
  2. Step 2: Convert to fraction form
    580.34/798.96 = 502.66/x
  3. Step 3: Cross multiply
    580.34x = 798.96 × 502.66
  4. Step 4: Simplify right side
    580.34x = 401,605.23
  5. Step 5: Solve for x
    x = 401,605.23/580.34
  6. Step 6: Final answer
    x = 692.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.