Home / 1,148.25-1,584.06-705.99

Finding the Fourth Proportional to 1,148.25, 1,584.06 and 705.99

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Solution

The fourth proportional to 1,148.25, 1,584.06 and 705.99 is: 973.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.25 : 1,584.06 = 705.99 : x
  2. Step 2: Convert to fraction form
    1,148.25/1,584.06 = 705.99/x
  3. Step 3: Cross multiply
    1,148.25x = 1,584.06 × 705.99
  4. Step 4: Simplify right side
    1,148.25x = 1,118,330.52
  5. Step 5: Solve for x
    x = 1,118,330.52/1,148.25
  6. Step 6: Final answer
    x = 973.94

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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.