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Finding the Fourth Proportional to 1,151.74, 1,718.98 and 994.87

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Solution

The fourth proportional to 1,151.74, 1,718.98 and 994.87 is: 1,484.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.74 : 1,718.98 = 994.87 : x
  2. Step 2: Convert to fraction form
    1,151.74/1,718.98 = 994.87/x
  3. Step 3: Cross multiply
    1,151.74x = 1,718.98 × 994.87
  4. Step 4: Simplify right side
    1,151.74x = 1,710,161.63
  5. Step 5: Solve for x
    x = 1,710,161.63/1,151.74
  6. Step 6: Final answer
    x = 1,484.85

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.