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Finding the Fourth Proportional to 472.50, 653.27 and 452.10

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Solution

The fourth proportional to 472.50, 653.27 and 452.10 is: 625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 653.27 = 452.10 : x
  2. Step 2: Convert to fraction form
    472.50/653.27 = 452.10/x
  3. Step 3: Cross multiply
    472.50x = 653.27 × 452.10
  4. Step 4: Simplify right side
    472.50x = 295,341.11
  5. Step 5: Solve for x
    x = 295,341.11/472.50
  6. Step 6: Final answer
    x = 625.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.