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Finding the Fourth Proportional to 1,097.39, 1,646.08 and 275.66

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Solution

The fourth proportional to 1,097.39, 1,646.08 and 275.66 is: 413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.39 : 1,646.08 = 275.66 : x
  2. Step 2: Convert to fraction form
    1,097.39/1,646.08 = 275.66/x
  3. Step 3: Cross multiply
    1,097.39x = 1,646.08 × 275.66
  4. Step 4: Simplify right side
    1,097.39x = 453,755.67
  5. Step 5: Solve for x
    x = 453,755.67/1,097.39
  6. Step 6: Final answer
    x = 413.49

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Half scale
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Double scale
Find fourth proportional to 1,098.39, 1,647.58 and 276.66
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.