Home / 1,148.41-1,584.75-706.15

Finding the Fourth Proportional to 1,148.41, 1,584.75 and 706.15

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Solution

The fourth proportional to 1,148.41, 1,584.75 and 706.15 is: 974.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.41 : 1,584.75 = 706.15 : x
  2. Step 2: Convert to fraction form
    1,148.41/1,584.75 = 706.15/x
  3. Step 3: Cross multiply
    1,148.41x = 1,584.75 × 706.15
  4. Step 4: Simplify right side
    1,148.41x = 1,119,071.21
  5. Step 5: Solve for x
    x = 1,119,071.21/1,148.41
  6. Step 6: Final answer
    x = 974.45

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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.