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Finding the Fourth Proportional to 453.94, 677.58 and 415.47

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Solution

The fourth proportional to 453.94, 677.58 and 415.47 is: 620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.94 : 677.58 = 415.47 : x
  2. Step 2: Convert to fraction form
    453.94/677.58 = 415.47/x
  3. Step 3: Cross multiply
    453.94x = 677.58 × 415.47
  4. Step 4: Simplify right side
    453.94x = 281,509.74
  5. Step 5: Solve for x
    x = 281,509.74/453.94
  6. Step 6: Final answer
    x = 620.15

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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.