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Finding the Fourth Proportional to 1,020.86, 1,409.44 and 784.35

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Solution

The fourth proportional to 1,020.86, 1,409.44 and 784.35 is: 1,082.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.86 : 1,409.44 = 784.35 : x
  2. Step 2: Convert to fraction form
    1,020.86/1,409.44 = 784.35/x
  3. Step 3: Cross multiply
    1,020.86x = 1,409.44 × 784.35
  4. Step 4: Simplify right side
    1,020.86x = 1,105,492.30
  5. Step 5: Solve for x
    x = 1,105,492.30/1,020.86
  6. Step 6: Final answer
    x = 1,082.91

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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.