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Finding the Fourth Proportional to 684.84, 945.24 and 419.28

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Solution

The fourth proportional to 684.84, 945.24 and 419.28 is: 578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.84 : 945.24 = 419.28 : x
  2. Step 2: Convert to fraction form
    684.84/945.24 = 419.28/x
  3. Step 3: Cross multiply
    684.84x = 945.24 × 419.28
  4. Step 4: Simplify right side
    684.84x = 396,320.23
  5. Step 5: Solve for x
    x = 396,320.23/684.84
  6. Step 6: Final answer
    x = 578.70

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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.