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Finding the Fourth Proportional to 469.84, 648.42 and 312.70

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Solution

The fourth proportional to 469.84, 648.42 and 312.70 is: 431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.84 : 648.42 = 312.70 : x
  2. Step 2: Convert to fraction form
    469.84/648.42 = 312.70/x
  3. Step 3: Cross multiply
    469.84x = 648.42 × 312.70
  4. Step 4: Simplify right side
    469.84x = 202,760.93
  5. Step 5: Solve for x
    x = 202,760.93/469.84
  6. Step 6: Final answer
    x = 431.55

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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.