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Finding the Fourth Proportional to 452.35, 677.58 and 375.13

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Solution

The fourth proportional to 452.35, 677.58 and 375.13 is: 561.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.35 : 677.58 = 375.13 : x
  2. Step 2: Convert to fraction form
    452.35/677.58 = 375.13/x
  3. Step 3: Cross multiply
    452.35x = 677.58 × 375.13
  4. Step 4: Simplify right side
    452.35x = 254,180.59
  5. Step 5: Solve for x
    x = 254,180.59/452.35
  6. Step 6: Final answer
    x = 561.91

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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.