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Finding the Fourth Proportional to 1,126.70, 1,678.95 and 1,094.98

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Solution

The fourth proportional to 1,126.70, 1,678.95 and 1,094.98 is: 1,631.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.70 : 1,678.95 = 1,094.98 : x
  2. Step 2: Convert to fraction form
    1,126.70/1,678.95 = 1,094.98/x
  3. Step 3: Cross multiply
    1,126.70x = 1,678.95 × 1,094.98
  4. Step 4: Simplify right side
    1,126.70x = 1,838,416.67
  5. Step 5: Solve for x
    x = 1,838,416.67/1,126.70
  6. Step 6: Final answer
    x = 1,631.68

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