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Finding the Fourth Proportional to 455.10, 677.51 and 452.40

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Solution

The fourth proportional to 455.10, 677.51 and 452.40 is: 673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.10 : 677.51 = 452.40 : x
  2. Step 2: Convert to fraction form
    455.10/677.51 = 452.40/x
  3. Step 3: Cross multiply
    455.10x = 677.51 × 452.40
  4. Step 4: Simplify right side
    455.10x = 306,503.26
  5. Step 5: Solve for x
    x = 306,503.26/455.10
  6. Step 6: Final answer
    x = 673.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.