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Finding the Fourth Proportional to 1,058.29, 1,587.69 and 670.78

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Solution

The fourth proportional to 1,058.29, 1,587.69 and 670.78 is: 1,006.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.29 : 1,587.69 = 670.78 : x
  2. Step 2: Convert to fraction form
    1,058.29/1,587.69 = 670.78/x
  3. Step 3: Cross multiply
    1,058.29x = 1,587.69 × 670.78
  4. Step 4: Simplify right side
    1,058.29x = 1,064,994.57
  5. Step 5: Solve for x
    x = 1,064,994.57/1,058.29
  6. Step 6: Final answer
    x = 1,006.33

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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.