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Finding the Fourth Proportional to 1,350.57, 2,025.72 and 529.50

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Solution

The fourth proportional to 1,350.57, 2,025.72 and 529.50 is: 794.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.57 : 2,025.72 = 529.50 : x
  2. Step 2: Convert to fraction form
    1,350.57/2,025.72 = 529.50/x
  3. Step 3: Cross multiply
    1,350.57x = 2,025.72 × 529.50
  4. Step 4: Simplify right side
    1,350.57x = 1,072,618.74
  5. Step 5: Solve for x
    x = 1,072,618.74/1,350.57
  6. Step 6: Final answer
    x = 794.20

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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.