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Finding the Fourth Proportional to 901.80, 1,352.19 and 353.77

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Solution

The fourth proportional to 901.80, 1,352.19 and 353.77 is: 530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.80 : 1,352.19 = 353.77 : x
  2. Step 2: Convert to fraction form
    901.80/1,352.19 = 353.77/x
  3. Step 3: Cross multiply
    901.80x = 1,352.19 × 353.77
  4. Step 4: Simplify right side
    901.80x = 478,362.20
  5. Step 5: Solve for x
    x = 478,362.20/901.80
  6. Step 6: Final answer
    x = 530.45

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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.