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Finding the Fourth Proportional to 684.28, 1,022.45 and 561.16

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Solution

The fourth proportional to 684.28, 1,022.45 and 561.16 is: 838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.28 : 1,022.45 = 561.16 : x
  2. Step 2: Convert to fraction form
    684.28/1,022.45 = 561.16/x
  3. Step 3: Cross multiply
    684.28x = 1,022.45 × 561.16
  4. Step 4: Simplify right side
    684.28x = 573,758.04
  5. Step 5: Solve for x
    x = 573,758.04/684.28
  6. Step 6: Final answer
    x = 838.48

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.