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Finding the Fourth Proportional to 684.42, 1,021.67 and 632.99

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Solution

The fourth proportional to 684.42, 1,021.67 and 632.99 is: 944.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.42 : 1,021.67 = 632.99 : x
  2. Step 2: Convert to fraction form
    684.42/1,021.67 = 632.99/x
  3. Step 3: Cross multiply
    684.42x = 1,021.67 × 632.99
  4. Step 4: Simplify right side
    684.42x = 646,698.62
  5. Step 5: Solve for x
    x = 646,698.62/684.42
  6. Step 6: Final answer
    x = 944.89

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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.