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Finding the Fourth Proportional to 469.91, 648.77 and 312.77

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Solution

The fourth proportional to 469.91, 648.77 and 312.77 is: 431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.91 : 648.77 = 312.77 : x
  2. Step 2: Convert to fraction form
    469.91/648.77 = 312.77/x
  3. Step 3: Cross multiply
    469.91x = 648.77 × 312.77
  4. Step 4: Simplify right side
    469.91x = 202,915.85
  5. Step 5: Solve for x
    x = 202,915.85/469.91
  6. Step 6: Final answer
    x = 431.82

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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.