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Finding the Fourth Proportional to 469.24, 699.27 and 453.76

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Solution

The fourth proportional to 469.24, 699.27 and 453.76 is: 676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.24 : 699.27 = 453.76 : x
  2. Step 2: Convert to fraction form
    469.24/699.27 = 453.76/x
  3. Step 3: Cross multiply
    469.24x = 699.27 × 453.76
  4. Step 4: Simplify right side
    469.24x = 317,300.76
  5. Step 5: Solve for x
    x = 317,300.76/469.24
  6. Step 6: Final answer
    x = 676.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.