Home / 1,229.12-1,696.28-705.16

Finding the Fourth Proportional to 1,229.12, 1,696.28 and 705.16

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Solution

The fourth proportional to 1,229.12, 1,696.28 and 705.16 is: 973.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.12 : 1,696.28 = 705.16 : x
  2. Step 2: Convert to fraction form
    1,229.12/1,696.28 = 705.16/x
  3. Step 3: Cross multiply
    1,229.12x = 1,696.28 × 705.16
  4. Step 4: Simplify right side
    1,229.12x = 1,196,148.80
  5. Step 5: Solve for x
    x = 1,196,148.80/1,229.12
  6. Step 6: Final answer
    x = 973.17

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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.