Home / 1,137.34-1,705.15-589.17

Finding the Fourth Proportional to 1,137.34, 1,705.15 and 589.17

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Solution

The fourth proportional to 1,137.34, 1,705.15 and 589.17 is: 883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.34 : 1,705.15 = 589.17 : x
  2. Step 2: Convert to fraction form
    1,137.34/1,705.15 = 589.17/x
  3. Step 3: Cross multiply
    1,137.34x = 1,705.15 × 589.17
  4. Step 4: Simplify right side
    1,137.34x = 1,004,630.36
  5. Step 5: Solve for x
    x = 1,004,630.36/1,137.34
  6. Step 6: Final answer
    x = 883.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.