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Finding the Fourth Proportional to 1,058.91, 1,587.12 and 648.24

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Solution

The fourth proportional to 1,058.91, 1,587.12 and 648.24 is: 971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.91 : 1,587.12 = 648.24 : x
  2. Step 2: Convert to fraction form
    1,058.91/1,587.12 = 648.24/x
  3. Step 3: Cross multiply
    1,058.91x = 1,587.12 × 648.24
  4. Step 4: Simplify right side
    1,058.91x = 1,028,834.67
  5. Step 5: Solve for x
    x = 1,028,834.67/1,058.91
  6. Step 6: Final answer
    x = 971.60

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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.