Home / 1,302.04-1,796.80-778.07

Finding the Fourth Proportional to 1,302.04, 1,796.80 and 778.07

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Solution

The fourth proportional to 1,302.04, 1,796.80 and 778.07 is: 1,073.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.04 : 1,796.80 = 778.07 : x
  2. Step 2: Convert to fraction form
    1,302.04/1,796.80 = 778.07/x
  3. Step 3: Cross multiply
    1,302.04x = 1,796.80 × 778.07
  4. Step 4: Simplify right side
    1,302.04x = 1,398,036.18
  5. Step 5: Solve for x
    x = 1,398,036.18/1,302.04
  6. Step 6: Final answer
    x = 1,073.73

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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.