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Finding the Fourth Proportional to 1,258.19, 1,736.18 and 719.83

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Solution

The fourth proportional to 1,258.19, 1,736.18 and 719.83 is: 993.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.19 : 1,736.18 = 719.83 : x
  2. Step 2: Convert to fraction form
    1,258.19/1,736.18 = 719.83/x
  3. Step 3: Cross multiply
    1,258.19x = 1,736.18 × 719.83
  4. Step 4: Simplify right side
    1,258.19x = 1,249,746.51
  5. Step 5: Solve for x
    x = 1,249,746.51/1,258.19
  6. Step 6: Final answer
    x = 993.29

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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.