Home / 1,058.25-1,587.48-288.75

Finding the Fourth Proportional to 1,058.25, 1,587.48 and 288.75

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Solution

The fourth proportional to 1,058.25, 1,587.48 and 288.75 is: 433.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.25 : 1,587.48 = 288.75 : x
  2. Step 2: Convert to fraction form
    1,058.25/1,587.48 = 288.75/x
  3. Step 3: Cross multiply
    1,058.25x = 1,587.48 × 288.75
  4. Step 4: Simplify right side
    1,058.25x = 458,384.85
  5. Step 5: Solve for x
    x = 458,384.85/1,058.25
  6. Step 6: Final answer
    x = 433.15

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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.