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Finding the Fourth Proportional to 501.85, 692.31 and 291.99

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Solution

The fourth proportional to 501.85, 692.31 and 291.99 is: 402.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.85 : 692.31 = 291.99 : x
  2. Step 2: Convert to fraction form
    501.85/692.31 = 291.99/x
  3. Step 3: Cross multiply
    501.85x = 692.31 × 291.99
  4. Step 4: Simplify right side
    501.85x = 202,147.60
  5. Step 5: Solve for x
    x = 202,147.60/501.85
  6. Step 6: Final answer
    x = 402.80

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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.