Home / 1,148.23-1,583.80-705.97

Finding the Fourth Proportional to 1,148.23, 1,583.80 and 705.97

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Solution

The fourth proportional to 1,148.23, 1,583.80 and 705.97 is: 973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.23 : 1,583.80 = 705.97 : x
  2. Step 2: Convert to fraction form
    1,148.23/1,583.80 = 705.97/x
  3. Step 3: Cross multiply
    1,148.23x = 1,583.80 × 705.97
  4. Step 4: Simplify right side
    1,148.23x = 1,118,115.29
  5. Step 5: Solve for x
    x = 1,118,115.29/1,148.23
  6. Step 6: Final answer
    x = 973.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.