Home / 1,206.19-1,663.50-786.07

Finding the Fourth Proportional to 1,206.19, 1,663.50 and 786.07

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Solution

The fourth proportional to 1,206.19, 1,663.50 and 786.07 is: 1,084.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.19 : 1,663.50 = 786.07 : x
  2. Step 2: Convert to fraction form
    1,206.19/1,663.50 = 786.07/x
  3. Step 3: Cross multiply
    1,206.19x = 1,663.50 × 786.07
  4. Step 4: Simplify right side
    1,206.19x = 1,307,627.45
  5. Step 5: Solve for x
    x = 1,307,627.45/1,206.19
  6. Step 6: Final answer
    x = 1,084.10

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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.