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Finding the Fourth Proportional to 453.24, 624.74 and 305.61

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Solution

The fourth proportional to 453.24, 624.74 and 305.61 is: 421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.24 : 624.74 = 305.61 : x
  2. Step 2: Convert to fraction form
    453.24/624.74 = 305.61/x
  3. Step 3: Cross multiply
    453.24x = 624.74 × 305.61
  4. Step 4: Simplify right side
    453.24x = 190,925.26
  5. Step 5: Solve for x
    x = 190,925.26/453.24
  6. Step 6: Final answer
    x = 421.25

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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.