Home / 1,058.16-1,587.40-327.80

Finding the Fourth Proportional to 1,058.16, 1,587.40 and 327.80

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Solution

The fourth proportional to 1,058.16, 1,587.40 and 327.80 is: 491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.16 : 1,587.40 = 327.80 : x
  2. Step 2: Convert to fraction form
    1,058.16/1,587.40 = 327.80/x
  3. Step 3: Cross multiply
    1,058.16x = 1,587.40 × 327.80
  4. Step 4: Simplify right side
    1,058.16x = 520,352.87
  5. Step 5: Solve for x
    x = 520,352.87/1,058.16
  6. Step 6: Final answer
    x = 491.75

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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.