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Finding the Fourth Proportional to 635.06, 876.13 and 469.67

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Solution

The fourth proportional to 635.06, 876.13 and 469.67 is: 647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.06 : 876.13 = 469.67 : x
  2. Step 2: Convert to fraction form
    635.06/876.13 = 469.67/x
  3. Step 3: Cross multiply
    635.06x = 876.13 × 469.67
  4. Step 4: Simplify right side
    635.06x = 411,491.98
  5. Step 5: Solve for x
    x = 411,491.98/635.06
  6. Step 6: Final answer
    x = 647.96

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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.