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Finding the Fourth Proportional to 1,258, 1,736.04 and 706

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Solution

The fourth proportional to 1,258, 1,736.04 and 706 is: 974.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258 : 1,736.04 = 706 : x
  2. Step 2: Convert to fraction form
    1,258/1,736.04 = 706/x
  3. Step 3: Cross multiply
    1,258x = 1,736.04 × 706
  4. Step 4: Simplify right side
    1,258x = 1,225,644.24
  5. Step 5: Solve for x
    x = 1,225,644.24/1,258
  6. Step 6: Final answer
    x = 974.28

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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.