Home / 1,058.30-1,587.27-288.62

Finding the Fourth Proportional to 1,058.30, 1,587.27 and 288.62

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Solution

The fourth proportional to 1,058.30, 1,587.27 and 288.62 is: 432.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.30 : 1,587.27 = 288.62 : x
  2. Step 2: Convert to fraction form
    1,058.30/1,587.27 = 288.62/x
  3. Step 3: Cross multiply
    1,058.30x = 1,587.27 × 288.62
  4. Step 4: Simplify right side
    1,058.30x = 458,117.87
  5. Step 5: Solve for x
    x = 458,117.87/1,058.30
  6. Step 6: Final answer
    x = 432.88

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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.