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Finding the Fourth Proportional to 703.80, 983.40 and 703.80

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Solution

The fourth proportional to 703.80, 983.40 and 703.80 is: 983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.80 : 983.40 = 703.80 : x
  2. Step 2: Convert to fraction form
    703.80/983.40 = 703.80/x
  3. Step 3: Cross multiply
    703.80x = 983.40 × 703.80
  4. Step 4: Simplify right side
    703.80x = 692,116.92
  5. Step 5: Solve for x
    x = 692,116.92/703.80
  6. Step 6: Final answer
    x = 983.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.