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Finding the Fourth Proportional to 1,298.81, 1,792.36 and 709.36

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Solution

The fourth proportional to 1,298.81, 1,792.36 and 709.36 is: 978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.81 : 1,792.36 = 709.36 : x
  2. Step 2: Convert to fraction form
    1,298.81/1,792.36 = 709.36/x
  3. Step 3: Cross multiply
    1,298.81x = 1,792.36 × 709.36
  4. Step 4: Simplify right side
    1,298.81x = 1,271,424.90
  5. Step 5: Solve for x
    x = 1,271,424.90/1,298.81
  6. Step 6: Final answer
    x = 978.91

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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.