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Finding the Fourth Proportional to 502.84, 692.83 and 376.28

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Solution

The fourth proportional to 502.84, 692.83 and 376.28 is: 518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.84 : 692.83 = 376.28 : x
  2. Step 2: Convert to fraction form
    502.84/692.83 = 376.28/x
  3. Step 3: Cross multiply
    502.84x = 692.83 × 376.28
  4. Step 4: Simplify right side
    502.84x = 260,698.07
  5. Step 5: Solve for x
    x = 260,698.07/502.84
  6. Step 6: Final answer
    x = 518.45

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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.