Home / 1,148.07-1,583.52-706.21

Finding the Fourth Proportional to 1,148.07, 1,583.52 and 706.21

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Solution

The fourth proportional to 1,148.07, 1,583.52 and 706.21 is: 974.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.07 : 1,583.52 = 706.21 : x
  2. Step 2: Convert to fraction form
    1,148.07/1,583.52 = 706.21/x
  3. Step 3: Cross multiply
    1,148.07x = 1,583.52 × 706.21
  4. Step 4: Simplify right side
    1,148.07x = 1,118,297.66
  5. Step 5: Solve for x
    x = 1,118,297.66/1,148.07
  6. Step 6: Final answer
    x = 974.07

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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.