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Finding the Fourth Proportional to 820.02, 1,225.01 and 675.84

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Solution

The fourth proportional to 820.02, 1,225.01 and 675.84 is: 1,009.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.02 : 1,225.01 = 675.84 : x
  2. Step 2: Convert to fraction form
    820.02/1,225.01 = 675.84/x
  3. Step 3: Cross multiply
    820.02x = 1,225.01 × 675.84
  4. Step 4: Simplify right side
    820.02x = 827,910.76
  5. Step 5: Solve for x
    x = 827,910.76/820.02
  6. Step 6: Final answer
    x = 1,009.62

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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.