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Finding the Fourth Proportional to 901.03, 1,351.77 and 462.11

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Solution

The fourth proportional to 901.03, 1,351.77 and 462.11 is: 693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.03 : 1,351.77 = 462.11 : x
  2. Step 2: Convert to fraction form
    901.03/1,351.77 = 462.11/x
  3. Step 3: Cross multiply
    901.03x = 1,351.77 × 462.11
  4. Step 4: Simplify right side
    901.03x = 624,666.43
  5. Step 5: Solve for x
    x = 624,666.43/901.03
  6. Step 6: Final answer
    x = 693.28

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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.