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Finding the Fourth Proportional to 1,058.73, 1,588.14 and 647.61

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Solution

The fourth proportional to 1,058.73, 1,588.14 and 647.61 is: 971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.73 : 1,588.14 = 647.61 : x
  2. Step 2: Convert to fraction form
    1,058.73/1,588.14 = 647.61/x
  3. Step 3: Cross multiply
    1,058.73x = 1,588.14 × 647.61
  4. Step 4: Simplify right side
    1,058.73x = 1,028,495.35
  5. Step 5: Solve for x
    x = 1,028,495.35/1,058.73
  6. Step 6: Final answer
    x = 971.44

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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.