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Finding the Fourth Proportional to 1,210.69, 1,670.96 and 713.45

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Solution

The fourth proportional to 1,210.69, 1,670.96 and 713.45 is: 984.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.69 : 1,670.96 = 713.45 : x
  2. Step 2: Convert to fraction form
    1,210.69/1,670.96 = 713.45/x
  3. Step 3: Cross multiply
    1,210.69x = 1,670.96 × 713.45
  4. Step 4: Simplify right side
    1,210.69x = 1,192,147.02
  5. Step 5: Solve for x
    x = 1,192,147.02/1,210.69
  6. Step 6: Final answer
    x = 984.69

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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.