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Finding the Fourth Proportional to 901.77, 1,351.99 and 353.67

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Solution

The fourth proportional to 901.77, 1,351.99 and 353.67 is: 530.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.77 : 1,351.99 = 353.67 : x
  2. Step 2: Convert to fraction form
    901.77/1,351.99 = 353.67/x
  3. Step 3: Cross multiply
    901.77x = 1,351.99 × 353.67
  4. Step 4: Simplify right side
    901.77x = 478,158.30
  5. Step 5: Solve for x
    x = 478,158.30/901.77
  6. Step 6: Final answer
    x = 530.24

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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.