Home / 1,058.10-1,587.20-288.60

Finding the Fourth Proportional to 1,058.10, 1,587.20 and 288.60

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Solution

The fourth proportional to 1,058.10, 1,587.20 and 288.60 is: 432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.10 : 1,587.20 = 288.60 : x
  2. Step 2: Convert to fraction form
    1,058.10/1,587.20 = 288.60/x
  3. Step 3: Cross multiply
    1,058.10x = 1,587.20 × 288.60
  4. Step 4: Simplify right side
    1,058.10x = 458,064.48
  5. Step 5: Solve for x
    x = 458,064.48/1,058.10
  6. Step 6: Final answer
    x = 432.91

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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.