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Finding the Fourth Proportional to 1,288.07, 1,777.53 and 790.69

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Solution

The fourth proportional to 1,288.07, 1,777.53 and 790.69 is: 1,091.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.07 : 1,777.53 = 790.69 : x
  2. Step 2: Convert to fraction form
    1,288.07/1,777.53 = 790.69/x
  3. Step 3: Cross multiply
    1,288.07x = 1,777.53 × 790.69
  4. Step 4: Simplify right side
    1,288.07x = 1,405,471.24
  5. Step 5: Solve for x
    x = 1,405,471.24/1,288.07
  6. Step 6: Final answer
    x = 1,091.15

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1.5x scale

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.