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Finding the Fourth Proportional to 452.61, 678.38 and 314.91

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Solution

The fourth proportional to 452.61, 678.38 and 314.91 is: 471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.61 : 678.38 = 314.91 : x
  2. Step 2: Convert to fraction form
    452.61/678.38 = 314.91/x
  3. Step 3: Cross multiply
    452.61x = 678.38 × 314.91
  4. Step 4: Simplify right side
    452.61x = 213,627.07
  5. Step 5: Solve for x
    x = 213,627.07/452.61
  6. Step 6: Final answer
    x = 471.99

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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.