Home / 1,233.04-1,701.40-709.12

Finding the Fourth Proportional to 1,233.04, 1,701.40 and 709.12

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Solution

The fourth proportional to 1,233.04, 1,701.40 and 709.12 is: 978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.04 : 1,701.40 = 709.12 : x
  2. Step 2: Convert to fraction form
    1,233.04/1,701.40 = 709.12/x
  3. Step 3: Cross multiply
    1,233.04x = 1,701.40 × 709.12
  4. Step 4: Simplify right side
    1,233.04x = 1,206,496.77
  5. Step 5: Solve for x
    x = 1,206,496.77/1,233.04
  6. Step 6: Final answer
    x = 978.47

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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.