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Finding the Fourth Proportional to 688.95, 949.64 and 502.47

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Solution

The fourth proportional to 688.95, 949.64 and 502.47 is: 692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.95 : 949.64 = 502.47 : x
  2. Step 2: Convert to fraction form
    688.95/949.64 = 502.47/x
  3. Step 3: Cross multiply
    688.95x = 949.64 × 502.47
  4. Step 4: Simplify right side
    688.95x = 477,163.10
  5. Step 5: Solve for x
    x = 477,163.10/688.95
  6. Step 6: Final answer
    x = 692.59

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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.