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Finding the Fourth Proportional to 1,202.61, 1,803.29 and 552.63

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Solution

The fourth proportional to 1,202.61, 1,803.29 and 552.63 is: 828.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.61 : 1,803.29 = 552.63 : x
  2. Step 2: Convert to fraction form
    1,202.61/1,803.29 = 552.63/x
  3. Step 3: Cross multiply
    1,202.61x = 1,803.29 × 552.63
  4. Step 4: Simplify right side
    1,202.61x = 996,549.39
  5. Step 5: Solve for x
    x = 996,549.39/1,202.61
  6. Step 6: Final answer
    x = 828.66

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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.