Home / 1,456.34-2,185.11-705.47

Finding the Fourth Proportional to 1,456.34, 2,185.11 and 705.47

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Solution

The fourth proportional to 1,456.34, 2,185.11 and 705.47 is: 1,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456.34 : 2,185.11 = 705.47 : x
  2. Step 2: Convert to fraction form
    1,456.34/2,185.11 = 705.47/x
  3. Step 3: Cross multiply
    1,456.34x = 2,185.11 × 705.47
  4. Step 4: Simplify right side
    1,456.34x = 1,541,518.63
  5. Step 5: Solve for x
    x = 1,541,518.63/1,456.34
  6. Step 6: Final answer
    x = 1,058.49

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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.