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Finding the Fourth Proportional to 684.94, 945.14 and 445.24

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Solution

The fourth proportional to 684.94, 945.14 and 445.24 is: 614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.94 : 945.14 = 445.24 : x
  2. Step 2: Convert to fraction form
    684.94/945.14 = 445.24/x
  3. Step 3: Cross multiply
    684.94x = 945.14 × 445.24
  4. Step 4: Simplify right side
    684.94x = 420,814.13
  5. Step 5: Solve for x
    x = 420,814.13/684.94
  6. Step 6: Final answer
    x = 614.38

Related Problems

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Half scale
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Double scale
Find fourth proportional to 685.94, 946.52 and 446.24
Similar ratio
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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.