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Finding the Fourth Proportional to 453.84, 677.82 and 417.48

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Solution

The fourth proportional to 453.84, 677.82 and 417.48 is: 623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.84 : 677.82 = 417.48 : x
  2. Step 2: Convert to fraction form
    453.84/677.82 = 417.48/x
  3. Step 3: Cross multiply
    453.84x = 677.82 × 417.48
  4. Step 4: Simplify right side
    453.84x = 282,976.29
  5. Step 5: Solve for x
    x = 282,976.29/453.84
  6. Step 6: Final answer
    x = 623.52

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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.