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Finding the Fourth Proportional to 901.72, 1,350.84 and 535.39

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Solution

The fourth proportional to 901.72, 1,350.84 and 535.39 is: 802.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.72 : 1,350.84 = 535.39 : x
  2. Step 2: Convert to fraction form
    901.72/1,350.84 = 535.39/x
  3. Step 3: Cross multiply
    901.72x = 1,350.84 × 535.39
  4. Step 4: Simplify right side
    901.72x = 723,226.23
  5. Step 5: Solve for x
    x = 723,226.23/901.72
  6. Step 6: Final answer
    x = 802.05

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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.