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Finding the Fourth Proportional to 1,124.30, 1,678.13 and 1,055.05

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Solution

The fourth proportional to 1,124.30, 1,678.13 and 1,055.05 is: 1,574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.30 : 1,678.13 = 1,055.05 : x
  2. Step 2: Convert to fraction form
    1,124.30/1,678.13 = 1,055.05/x
  3. Step 3: Cross multiply
    1,124.30x = 1,678.13 × 1,055.05
  4. Step 4: Simplify right side
    1,124.30x = 1,770,511.06
  5. Step 5: Solve for x
    x = 1,770,511.06/1,124.30
  6. Step 6: Final answer
    x = 1,574.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.