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Finding the Fourth Proportional to 1,058.73, 1,587.80 and 355.81

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Solution

The fourth proportional to 1,058.73, 1,587.80 and 355.81 is: 533.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.73 : 1,587.80 = 355.81 : x
  2. Step 2: Convert to fraction form
    1,058.73/1,587.80 = 355.81/x
  3. Step 3: Cross multiply
    1,058.73x = 1,587.80 × 355.81
  4. Step 4: Simplify right side
    1,058.73x = 564,961.14
  5. Step 5: Solve for x
    x = 564,961.14/1,058.73
  6. Step 6: Final answer
    x = 533.62

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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.