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Finding the Fourth Proportional to 1,153.15, 1,599.50 and 1,111.65

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Solution

The fourth proportional to 1,153.15, 1,599.50 and 1,111.65 is: 1,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.15 : 1,599.50 = 1,111.65 : x
  2. Step 2: Convert to fraction form
    1,153.15/1,599.50 = 1,111.65/x
  3. Step 3: Cross multiply
    1,153.15x = 1,599.50 × 1,111.65
  4. Step 4: Simplify right side
    1,153.15x = 1,778,084.18
  5. Step 5: Solve for x
    x = 1,778,084.18/1,153.15
  6. Step 6: Final answer
    x = 1,541.94

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.