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Finding the Fourth Proportional to 984.77, 1,477.16 and 399.77

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Solution

The fourth proportional to 984.77, 1,477.16 and 399.77 is: 599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.77 : 1,477.16 = 399.77 : x
  2. Step 2: Convert to fraction form
    984.77/1,477.16 = 399.77/x
  3. Step 3: Cross multiply
    984.77x = 1,477.16 × 399.77
  4. Step 4: Simplify right side
    984.77x = 590,514.87
  5. Step 5: Solve for x
    x = 590,514.87/984.77
  6. Step 6: Final answer
    x = 599.65

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Double scale
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Similar ratio
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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.