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Finding the Fourth Proportional to 1,058.82, 1,587.72 and 511.16

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Solution

The fourth proportional to 1,058.82, 1,587.72 and 511.16 is: 766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.82 : 1,587.72 = 511.16 : x
  2. Step 2: Convert to fraction form
    1,058.82/1,587.72 = 511.16/x
  3. Step 3: Cross multiply
    1,058.82x = 1,587.72 × 511.16
  4. Step 4: Simplify right side
    1,058.82x = 811,578.96
  5. Step 5: Solve for x
    x = 811,578.96/1,058.82
  6. Step 6: Final answer
    x = 766.49

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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.