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Finding the Fourth Proportional to 452.48, 678.72 and 407.02

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Solution

The fourth proportional to 452.48, 678.72 and 407.02 is: 610.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.48 : 678.72 = 407.02 : x
  2. Step 2: Convert to fraction form
    452.48/678.72 = 407.02/x
  3. Step 3: Cross multiply
    452.48x = 678.72 × 407.02
  4. Step 4: Simplify right side
    452.48x = 276,252.61
  5. Step 5: Solve for x
    x = 276,252.61/452.48
  6. Step 6: Final answer
    x = 610.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.