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Finding the Fourth Proportional to 1,035.18, 1,552.78 and 623.81

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Solution

The fourth proportional to 1,035.18, 1,552.78 and 623.81 is: 935.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.18 : 1,552.78 = 623.81 : x
  2. Step 2: Convert to fraction form
    1,035.18/1,552.78 = 623.81/x
  3. Step 3: Cross multiply
    1,035.18x = 1,552.78 × 623.81
  4. Step 4: Simplify right side
    1,035.18x = 968,639.69
  5. Step 5: Solve for x
    x = 968,639.69/1,035.18
  6. Step 6: Final answer
    x = 935.72

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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.