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Finding the Fourth Proportional to 1,321.55, 1,824.15 and 762.40

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Solution

The fourth proportional to 1,321.55, 1,824.15 and 762.40 is: 1,052.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.55 : 1,824.15 = 762.40 : x
  2. Step 2: Convert to fraction form
    1,321.55/1,824.15 = 762.40/x
  3. Step 3: Cross multiply
    1,321.55x = 1,824.15 × 762.40
  4. Step 4: Simplify right side
    1,321.55x = 1,390,727.40
  5. Step 5: Solve for x
    x = 1,390,727.40/1,321.55
  6. Step 6: Final answer
    x = 1,052.34

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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.