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Finding the Fourth Proportional to 1,200.56, 1,798.04 and 924.46

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Solution

The fourth proportional to 1,200.56, 1,798.04 and 924.46 is: 1,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.56 : 1,798.04 = 924.46 : x
  2. Step 2: Convert to fraction form
    1,200.56/1,798.04 = 924.46/x
  3. Step 3: Cross multiply
    1,200.56x = 1,798.04 × 924.46
  4. Step 4: Simplify right side
    1,200.56x = 1,662,216.06
  5. Step 5: Solve for x
    x = 1,662,216.06/1,200.56
  6. Step 6: Final answer
    x = 1,384.53

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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.