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Finding the Fourth Proportional to 1,312.14, 1,811.20 and 920.30

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Solution

The fourth proportional to 1,312.14, 1,811.20 and 920.30 is: 1,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.14 : 1,811.20 = 920.30 : x
  2. Step 2: Convert to fraction form
    1,312.14/1,811.20 = 920.30/x
  3. Step 3: Cross multiply
    1,312.14x = 1,811.20 × 920.30
  4. Step 4: Simplify right side
    1,312.14x = 1,666,847.36
  5. Step 5: Solve for x
    x = 1,666,847.36/1,312.14
  6. Step 6: Final answer
    x = 1,270.33

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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.