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Finding the Fourth Proportional to 1,098.20, 1,656.40 and 1,026.20

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Solution

The fourth proportional to 1,098.20, 1,656.40 and 1,026.20 is: 1,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.20 : 1,656.40 = 1,026.20 : x
  2. Step 2: Convert to fraction form
    1,098.20/1,656.40 = 1,026.20/x
  3. Step 3: Cross multiply
    1,098.20x = 1,656.40 × 1,026.20
  4. Step 4: Simplify right side
    1,098.20x = 1,699,797.68
  5. Step 5: Solve for x
    x = 1,699,797.68/1,098.20
  6. Step 6: Final answer
    x = 1,547.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.