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Finding the Fourth Proportional to 684.36, 1,026.54 and 228.36

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Solution

The fourth proportional to 684.36, 1,026.54 and 228.36 is: 342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.36 : 1,026.54 = 228.36 : x
  2. Step 2: Convert to fraction form
    684.36/1,026.54 = 228.36/x
  3. Step 3: Cross multiply
    684.36x = 1,026.54 × 228.36
  4. Step 4: Simplify right side
    684.36x = 234,420.67
  5. Step 5: Solve for x
    x = 234,420.67/684.36
  6. Step 6: Final answer
    x = 342.54

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.