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Finding the Fourth Proportional to 1,058.21, 1,587.32 and 510.29

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Solution

The fourth proportional to 1,058.21, 1,587.32 and 510.29 is: 765.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.21 : 1,587.32 = 510.29 : x
  2. Step 2: Convert to fraction form
    1,058.21/1,587.32 = 510.29/x
  3. Step 3: Cross multiply
    1,058.21x = 1,587.32 × 510.29
  4. Step 4: Simplify right side
    1,058.21x = 809,990.97
  5. Step 5: Solve for x
    x = 809,990.97/1,058.21
  6. Step 6: Final answer
    x = 765.44

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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.