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Finding the Fourth Proportional to 983.83, 1,356.32 and 785.33

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Solution

The fourth proportional to 983.83, 1,356.32 and 785.33 is: 1,082.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.83 : 1,356.32 = 785.33 : x
  2. Step 2: Convert to fraction form
    983.83/1,356.32 = 785.33/x
  3. Step 3: Cross multiply
    983.83x = 1,356.32 × 785.33
  4. Step 4: Simplify right side
    983.83x = 1,065,158.79
  5. Step 5: Solve for x
    x = 1,065,158.79/983.83
  6. Step 6: Final answer
    x = 1,082.67

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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.