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Finding the Fourth Proportional to 502.24, 690.96 and 385.60

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Solution

The fourth proportional to 502.24, 690.96 and 385.60 is: 530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.24 : 690.96 = 385.60 : x
  2. Step 2: Convert to fraction form
    502.24/690.96 = 385.60/x
  3. Step 3: Cross multiply
    502.24x = 690.96 × 385.60
  4. Step 4: Simplify right side
    502.24x = 266,434.18
  5. Step 5: Solve for x
    x = 266,434.18/502.24
  6. Step 6: Final answer
    x = 530.49

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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.