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Finding the Fourth Proportional to 1,380.15, 1,904.64 and 790.88

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Solution

The fourth proportional to 1,380.15, 1,904.64 and 790.88 is: 1,091.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.15 : 1,904.64 = 790.88 : x
  2. Step 2: Convert to fraction form
    1,380.15/1,904.64 = 790.88/x
  3. Step 3: Cross multiply
    1,380.15x = 1,904.64 × 790.88
  4. Step 4: Simplify right side
    1,380.15x = 1,506,341.68
  5. Step 5: Solve for x
    x = 1,506,341.68/1,380.15
  6. Step 6: Final answer
    x = 1,091.43

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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.