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Finding the Fourth Proportional to 501.91, 692.63 and 277.86

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Solution

The fourth proportional to 501.91, 692.63 and 277.86 is: 383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.91 : 692.63 = 277.86 : x
  2. Step 2: Convert to fraction form
    501.91/692.63 = 277.86/x
  3. Step 3: Cross multiply
    501.91x = 692.63 × 277.86
  4. Step 4: Simplify right side
    501.91x = 192,452.78
  5. Step 5: Solve for x
    x = 192,452.78/501.91
  6. Step 6: Final answer
    x = 383.44

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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.