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Finding the Fourth Proportional to 502.25, 692.69 and 384.39

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Solution

The fourth proportional to 502.25, 692.69 and 384.39 is: 530.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.25 : 692.69 = 384.39 : x
  2. Step 2: Convert to fraction form
    502.25/692.69 = 384.39/x
  3. Step 3: Cross multiply
    502.25x = 692.69 × 384.39
  4. Step 4: Simplify right side
    502.25x = 266,261.19
  5. Step 5: Solve for x
    x = 266,261.19/502.25
  6. Step 6: Final answer
    x = 530.14

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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.