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Finding the Fourth Proportional to 1,314.51, 1,811.91 and 998.76

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Solution

The fourth proportional to 1,314.51, 1,811.91 and 998.76 is: 1,376.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.51 : 1,811.91 = 998.76 : x
  2. Step 2: Convert to fraction form
    1,314.51/1,811.91 = 998.76/x
  3. Step 3: Cross multiply
    1,314.51x = 1,811.91 × 998.76
  4. Step 4: Simplify right side
    1,314.51x = 1,809,663.23
  5. Step 5: Solve for x
    x = 1,809,663.23/1,314.51
  6. Step 6: Final answer
    x = 1,376.68

Related Problems

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.