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Finding the Fourth Proportional to 786.90, 1,085.78 and 455.34

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Solution

The fourth proportional to 786.90, 1,085.78 and 455.34 is: 628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.90 : 1,085.78 = 455.34 : x
  2. Step 2: Convert to fraction form
    786.90/1,085.78 = 455.34/x
  3. Step 3: Cross multiply
    786.90x = 1,085.78 × 455.34
  4. Step 4: Simplify right side
    786.90x = 494,399.07
  5. Step 5: Solve for x
    x = 494,399.07/786.90
  6. Step 6: Final answer
    x = 628.29

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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.