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Finding the Fourth Proportional to 452.58, 681.92 and 409.30

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Solution

The fourth proportional to 452.58, 681.92 and 409.30 is: 616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.58 : 681.92 = 409.30 : x
  2. Step 2: Convert to fraction form
    452.58/681.92 = 409.30/x
  3. Step 3: Cross multiply
    452.58x = 681.92 × 409.30
  4. Step 4: Simplify right side
    452.58x = 279,106.10
  5. Step 5: Solve for x
    x = 279,106.10/452.58
  6. Step 6: Final answer
    x = 616.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.