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Finding the Fourth Proportional to 1,228.54, 1,842.80 and 498.12

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Solution

The fourth proportional to 1,228.54, 1,842.80 and 498.12 is: 747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.54 : 1,842.80 = 498.12 : x
  2. Step 2: Convert to fraction form
    1,228.54/1,842.80 = 498.12/x
  3. Step 3: Cross multiply
    1,228.54x = 1,842.80 × 498.12
  4. Step 4: Simplify right side
    1,228.54x = 917,935.54
  5. Step 5: Solve for x
    x = 917,935.54/1,228.54
  6. Step 6: Final answer
    x = 747.18

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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.