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Finding the Fourth Proportional to 1,210.79, 1,816.23 and 440.75

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Solution

The fourth proportional to 1,210.79, 1,816.23 and 440.75 is: 661.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.79 : 1,816.23 = 440.75 : x
  2. Step 2: Convert to fraction form
    1,210.79/1,816.23 = 440.75/x
  3. Step 3: Cross multiply
    1,210.79x = 1,816.23 × 440.75
  4. Step 4: Simplify right side
    1,210.79x = 800,503.37
  5. Step 5: Solve for x
    x = 800,503.37/1,210.79
  6. Step 6: Final answer
    x = 661.14

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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.