Home / 1,528.23-2,291.97-705.71

Finding the Fourth Proportional to 1,528.23, 2,291.97 and 705.71

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Solution

The fourth proportional to 1,528.23, 2,291.97 and 705.71 is: 1,058.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.23 : 2,291.97 = 705.71 : x
  2. Step 2: Convert to fraction form
    1,528.23/2,291.97 = 705.71/x
  3. Step 3: Cross multiply
    1,528.23x = 2,291.97 × 705.71
  4. Step 4: Simplify right side
    1,528.23x = 1,617,467.91
  5. Step 5: Solve for x
    x = 1,617,467.91/1,528.23
  6. Step 6: Final answer
    x = 1,058.39

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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.