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Finding the Fourth Proportional to 786.54, 1,083.74 and 646.18

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Solution

The fourth proportional to 786.54, 1,083.74 and 646.18 is: 890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.54 : 1,083.74 = 646.18 : x
  2. Step 2: Convert to fraction form
    786.54/1,083.74 = 646.18/x
  3. Step 3: Cross multiply
    786.54x = 1,083.74 × 646.18
  4. Step 4: Simplify right side
    786.54x = 700,291.11
  5. Step 5: Solve for x
    x = 700,291.11/786.54
  6. Step 6: Final answer
    x = 890.34

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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.