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Finding the Fourth Proportional to 1,098.01, 1,646.95 and 276.28

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Solution

The fourth proportional to 1,098.01, 1,646.95 and 276.28 is: 414.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.01 : 1,646.95 = 276.28 : x
  2. Step 2: Convert to fraction form
    1,098.01/1,646.95 = 276.28/x
  3. Step 3: Cross multiply
    1,098.01x = 1,646.95 × 276.28
  4. Step 4: Simplify right side
    1,098.01x = 455,015.06
  5. Step 5: Solve for x
    x = 455,015.06/1,098.01
  6. Step 6: Final answer
    x = 414.40

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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.