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Finding the Fourth Proportional to 452.58, 624.14 and 354.16

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Solution

The fourth proportional to 452.58, 624.14 and 354.16 is: 488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.58 : 624.14 = 354.16 : x
  2. Step 2: Convert to fraction form
    452.58/624.14 = 354.16/x
  3. Step 3: Cross multiply
    452.58x = 624.14 × 354.16
  4. Step 4: Simplify right side
    452.58x = 221,043.65
  5. Step 5: Solve for x
    x = 221,043.65/452.58
  6. Step 6: Final answer
    x = 488.41

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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.