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Finding the Fourth Proportional to 1,261.21, 1,740.46 and 701.71

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Solution

The fourth proportional to 1,261.21, 1,740.46 and 701.71 is: 968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.21 : 1,740.46 = 701.71 : x
  2. Step 2: Convert to fraction form
    1,261.21/1,740.46 = 701.71/x
  3. Step 3: Cross multiply
    1,261.21x = 1,740.46 × 701.71
  4. Step 4: Simplify right side
    1,261.21x = 1,221,298.19
  5. Step 5: Solve for x
    x = 1,221,298.19/1,261.21
  6. Step 6: Final answer
    x = 968.35

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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.