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Finding the Fourth Proportional to 1,220.37, 1,827.72 and 602.15

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Solution

The fourth proportional to 1,220.37, 1,827.72 and 602.15 is: 901.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.37 : 1,827.72 = 602.15 : x
  2. Step 2: Convert to fraction form
    1,220.37/1,827.72 = 602.15/x
  3. Step 3: Cross multiply
    1,220.37x = 1,827.72 × 602.15
  4. Step 4: Simplify right side
    1,220.37x = 1,100,552.46
  5. Step 5: Solve for x
    x = 1,100,552.46/1,220.37
  6. Step 6: Final answer
    x = 901.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.