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Finding the Fourth Proportional to 1,617.39, 2,232 and 1,058.81

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Solution

The fourth proportional to 1,617.39, 2,232 and 1,058.81 is: 1,461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.39 : 2,232 = 1,058.81 : x
  2. Step 2: Convert to fraction form
    1,617.39/2,232 = 1,058.81/x
  3. Step 3: Cross multiply
    1,617.39x = 2,232 × 1,058.81
  4. Step 4: Simplify right side
    1,617.39x = 2,363,252.76
  5. Step 5: Solve for x
    x = 2,363,252.76/1,617.39
  6. Step 6: Final answer
    x = 1,461.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.