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Finding the Fourth Proportional to 1,058.31, 1,587.69 and 409.23

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Solution

The fourth proportional to 1,058.31, 1,587.69 and 409.23 is: 613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.31 : 1,587.69 = 409.23 : x
  2. Step 2: Convert to fraction form
    1,058.31/1,587.69 = 409.23/x
  3. Step 3: Cross multiply
    1,058.31x = 1,587.69 × 409.23
  4. Step 4: Simplify right side
    1,058.31x = 649,730.38
  5. Step 5: Solve for x
    x = 649,730.38/1,058.31
  6. Step 6: Final answer
    x = 613.93

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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.