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Finding the Fourth Proportional to 469.24, 647.97 and 292.51

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Solution

The fourth proportional to 469.24, 647.97 and 292.51 is: 403.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.24 : 647.97 = 292.51 : x
  2. Step 2: Convert to fraction form
    469.24/647.97 = 292.51/x
  3. Step 3: Cross multiply
    469.24x = 647.97 × 292.51
  4. Step 4: Simplify right side
    469.24x = 189,537.70
  5. Step 5: Solve for x
    x = 189,537.70/469.24
  6. Step 6: Final answer
    x = 403.92

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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.