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Finding the Fourth Proportional to 501.67, 692.31 and 277.62

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Solution

The fourth proportional to 501.67, 692.31 and 277.62 is: 383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.67 : 692.31 = 277.62 : x
  2. Step 2: Convert to fraction form
    501.67/692.31 = 277.62/x
  3. Step 3: Cross multiply
    501.67x = 692.31 × 277.62
  4. Step 4: Simplify right side
    501.67x = 192,199.10
  5. Step 5: Solve for x
    x = 192,199.10/501.67
  6. Step 6: Final answer
    x = 383.12

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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.