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Finding the Fourth Proportional to 1,344.98, 1,856.01 and 821.06

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Solution

The fourth proportional to 1,344.98, 1,856.01 and 821.06 is: 1,133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.98 : 1,856.01 = 821.06 : x
  2. Step 2: Convert to fraction form
    1,344.98/1,856.01 = 821.06/x
  3. Step 3: Cross multiply
    1,344.98x = 1,856.01 × 821.06
  4. Step 4: Simplify right side
    1,344.98x = 1,523,895.57
  5. Step 5: Solve for x
    x = 1,523,895.57/1,344.98
  6. Step 6: Final answer
    x = 1,133.02

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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.