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Finding the Fourth Proportional to 786.26, 1,084.14 and 506.54

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Solution

The fourth proportional to 786.26, 1,084.14 and 506.54 is: 698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.26 : 1,084.14 = 506.54 : x
  2. Step 2: Convert to fraction form
    786.26/1,084.14 = 506.54/x
  3. Step 3: Cross multiply
    786.26x = 1,084.14 × 506.54
  4. Step 4: Simplify right side
    786.26x = 549,160.28
  5. Step 5: Solve for x
    x = 549,160.28/786.26
  6. Step 6: Final answer
    x = 698.45

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Double scale
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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.