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Finding the Fourth Proportional to 1,152.20, 1,721.80 and 828.20

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Solution

The fourth proportional to 1,152.20, 1,721.80 and 828.20 is: 1,237.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.20 : 1,721.80 = 828.20 : x
  2. Step 2: Convert to fraction form
    1,152.20/1,721.80 = 828.20/x
  3. Step 3: Cross multiply
    1,152.20x = 1,721.80 × 828.20
  4. Step 4: Simplify right side
    1,152.20x = 1,425,994.76
  5. Step 5: Solve for x
    x = 1,425,994.76/1,152.20
  6. Step 6: Final answer
    x = 1,237.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.