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Finding the Fourth Proportional to 501.62, 692.17 and 280.51

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Solution

The fourth proportional to 501.62, 692.17 and 280.51 is: 387.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.62 : 692.17 = 280.51 : x
  2. Step 2: Convert to fraction form
    501.62/692.17 = 280.51/x
  3. Step 3: Cross multiply
    501.62x = 692.17 × 280.51
  4. Step 4: Simplify right side
    501.62x = 194,162.86
  5. Step 5: Solve for x
    x = 194,162.86/501.62
  6. Step 6: Final answer
    x = 387.07

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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.