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Finding the Fourth Proportional to 501.61, 692.17 and 288.91

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Solution

The fourth proportional to 501.61, 692.17 and 288.91 is: 398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.61 : 692.17 = 288.91 : x
  2. Step 2: Convert to fraction form
    501.61/692.17 = 288.91/x
  3. Step 3: Cross multiply
    501.61x = 692.17 × 288.91
  4. Step 4: Simplify right side
    501.61x = 199,974.45
  5. Step 5: Solve for x
    x = 199,974.45/501.61
  6. Step 6: Final answer
    x = 398.67

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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.