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Finding the Fourth Proportional to 1,035.25, 1,552.94 and 294.80

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Solution

The fourth proportional to 1,035.25, 1,552.94 and 294.80 is: 442.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.25 : 1,552.94 = 294.80 : x
  2. Step 2: Convert to fraction form
    1,035.25/1,552.94 = 294.80/x
  3. Step 3: Cross multiply
    1,035.25x = 1,552.94 × 294.80
  4. Step 4: Simplify right side
    1,035.25x = 457,806.71
  5. Step 5: Solve for x
    x = 457,806.71/1,035.25
  6. Step 6: Final answer
    x = 442.22

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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.