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Finding the Fourth Proportional to 1,806.70, 2,710.60 and 766.18

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Solution

The fourth proportional to 1,806.70, 2,710.60 and 766.18 is: 1,149.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.70 : 2,710.60 = 766.18 : x
  2. Step 2: Convert to fraction form
    1,806.70/2,710.60 = 766.18/x
  3. Step 3: Cross multiply
    1,806.70x = 2,710.60 × 766.18
  4. Step 4: Simplify right side
    1,806.70x = 2,076,807.51
  5. Step 5: Solve for x
    x = 2,076,807.51/1,806.70
  6. Step 6: Final answer
    x = 1,149.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.