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Finding the Fourth Proportional to 1,058.72, 1,587.90 and 409.40

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Solution

The fourth proportional to 1,058.72, 1,587.90 and 409.40 is: 614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.72 : 1,587.90 = 409.40 : x
  2. Step 2: Convert to fraction form
    1,058.72/1,587.90 = 409.40/x
  3. Step 3: Cross multiply
    1,058.72x = 1,587.90 × 409.40
  4. Step 4: Simplify right side
    1,058.72x = 650,086.26
  5. Step 5: Solve for x
    x = 650,086.26/1,058.72
  6. Step 6: Final answer
    x = 614.03

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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.