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Finding the Fourth Proportional to 452.13, 677.06 and 369.06

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Solution

The fourth proportional to 452.13, 677.06 and 369.06 is: 552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.13 : 677.06 = 369.06 : x
  2. Step 2: Convert to fraction form
    452.13/677.06 = 369.06/x
  3. Step 3: Cross multiply
    452.13x = 677.06 × 369.06
  4. Step 4: Simplify right side
    452.13x = 249,872.76
  5. Step 5: Solve for x
    x = 249,872.76/452.13
  6. Step 6: Final answer
    x = 552.65

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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.