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Finding the Fourth Proportional to 1,058, 1,587.10 and 288.50

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Solution

The fourth proportional to 1,058, 1,587.10 and 288.50 is: 432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058 : 1,587.10 = 288.50 : x
  2. Step 2: Convert to fraction form
    1,058/1,587.10 = 288.50/x
  3. Step 3: Cross multiply
    1,058x = 1,587.10 × 288.50
  4. Step 4: Simplify right side
    1,058x = 457,878.35
  5. Step 5: Solve for x
    x = 457,878.35/1,058
  6. Step 6: Final answer
    x = 432.78

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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.