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Finding the Fourth Proportional to 689.56, 950.36 and 502.76

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Solution

The fourth proportional to 689.56, 950.36 and 502.76 is: 692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.56 : 950.36 = 502.76 : x
  2. Step 2: Convert to fraction form
    689.56/950.36 = 502.76/x
  3. Step 3: Cross multiply
    689.56x = 950.36 × 502.76
  4. Step 4: Simplify right side
    689.56x = 477,797.51
  5. Step 5: Solve for x
    x = 477,797.51/689.56
  6. Step 6: Final answer
    x = 692.90

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Double scale
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1.5x scale

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.