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Finding the Fourth Proportional to 684.60, 1,026.65 and 245.73

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Solution

The fourth proportional to 684.60, 1,026.65 and 245.73 is: 368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.60 : 1,026.65 = 245.73 : x
  2. Step 2: Convert to fraction form
    684.60/1,026.65 = 245.73/x
  3. Step 3: Cross multiply
    684.60x = 1,026.65 × 245.73
  4. Step 4: Simplify right side
    684.60x = 252,272.34
  5. Step 5: Solve for x
    x = 252,272.34/684.60
  6. Step 6: Final answer
    x = 368.50

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Half scale
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Double scale
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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.