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Finding the Fourth Proportional to 1,319.56, 1,820.96 and 821.94

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Solution

The fourth proportional to 1,319.56, 1,820.96 and 821.94 is: 1,134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.56 : 1,820.96 = 821.94 : x
  2. Step 2: Convert to fraction form
    1,319.56/1,820.96 = 821.94/x
  3. Step 3: Cross multiply
    1,319.56x = 1,820.96 × 821.94
  4. Step 4: Simplify right side
    1,319.56x = 1,496,719.86
  5. Step 5: Solve for x
    x = 1,496,719.86/1,319.56
  6. Step 6: Final answer
    x = 1,134.26

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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.