Home / 1,397.15-2,095.77-780.38

Finding the Fourth Proportional to 1,397.15, 2,095.77 and 780.38

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Solution

The fourth proportional to 1,397.15, 2,095.77 and 780.38 is: 1,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.15 : 2,095.77 = 780.38 : x
  2. Step 2: Convert to fraction form
    1,397.15/2,095.77 = 780.38/x
  3. Step 3: Cross multiply
    1,397.15x = 2,095.77 × 780.38
  4. Step 4: Simplify right side
    1,397.15x = 1,635,486.51
  5. Step 5: Solve for x
    x = 1,635,486.51/1,397.15
  6. Step 6: Final answer
    x = 1,170.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.