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Finding the Fourth Proportional to 1,058.83, 1,587.94 and 409.42

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Solution

The fourth proportional to 1,058.83, 1,587.94 and 409.42 is: 614.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.83 : 1,587.94 = 409.42 : x
  2. Step 2: Convert to fraction form
    1,058.83/1,587.94 = 409.42/x
  3. Step 3: Cross multiply
    1,058.83x = 1,587.94 × 409.42
  4. Step 4: Simplify right side
    1,058.83x = 650,134.39
  5. Step 5: Solve for x
    x = 650,134.39/1,058.83
  6. Step 6: Final answer
    x = 614.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.