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Finding the Fourth Proportional to 1,210.12, 1,816.40 and 884.50

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Solution

The fourth proportional to 1,210.12, 1,816.40 and 884.50 is: 1,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.12 : 1,816.40 = 884.50 : x
  2. Step 2: Convert to fraction form
    1,210.12/1,816.40 = 884.50/x
  3. Step 3: Cross multiply
    1,210.12x = 1,816.40 × 884.50
  4. Step 4: Simplify right side
    1,210.12x = 1,606,605.80
  5. Step 5: Solve for x
    x = 1,606,605.80/1,210.12
  6. Step 6: Final answer
    x = 1,327.64

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