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Finding the Fourth Proportional to 453.69, 624.18 and 355.26

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Solution

The fourth proportional to 453.69, 624.18 and 355.26 is: 488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.69 : 624.18 = 355.26 : x
  2. Step 2: Convert to fraction form
    453.69/624.18 = 355.26/x
  3. Step 3: Cross multiply
    453.69x = 624.18 × 355.26
  4. Step 4: Simplify right side
    453.69x = 221,746.19
  5. Step 5: Solve for x
    x = 221,746.19/453.69
  6. Step 6: Final answer
    x = 488.76

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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.