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Finding the Fourth Proportional to 1,362.98, 1,878.02 and 920.11

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Solution

The fourth proportional to 1,362.98, 1,878.02 and 920.11 is: 1,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.98 : 1,878.02 = 920.11 : x
  2. Step 2: Convert to fraction form
    1,362.98/1,878.02 = 920.11/x
  3. Step 3: Cross multiply
    1,362.98x = 1,878.02 × 920.11
  4. Step 4: Simplify right side
    1,362.98x = 1,727,980.38
  5. Step 5: Solve for x
    x = 1,727,980.38/1,362.98
  6. Step 6: Final answer
    x = 1,267.80

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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.