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Finding the Fourth Proportional to 1,316.38, 1,816.62 and 785.57

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Solution

The fourth proportional to 1,316.38, 1,816.62 and 785.57 is: 1,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.38 : 1,816.62 = 785.57 : x
  2. Step 2: Convert to fraction form
    1,316.38/1,816.62 = 785.57/x
  3. Step 3: Cross multiply
    1,316.38x = 1,816.62 × 785.57
  4. Step 4: Simplify right side
    1,316.38x = 1,427,069.16
  5. Step 5: Solve for x
    x = 1,427,069.16/1,316.38
  6. Step 6: Final answer
    x = 1,084.09

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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.