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Finding the Fourth Proportional to 469, 647.24 and 311.35

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Solution

The fourth proportional to 469, 647.24 and 311.35 is: 429.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    469 : 647.24 = 311.35 : x
  2. Step 2: Convert to fraction form
    469/647.24 = 311.35/x
  3. Step 3: Cross multiply
    469x = 647.24 × 311.35
  4. Step 4: Simplify right side
    469x = 201,518.17
  5. Step 5: Solve for x
    x = 201,518.17/469
  6. Step 6: Final answer
    x = 429.68

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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.