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Finding the Fourth Proportional to 684.42, 942.12 and 596.94

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Solution

The fourth proportional to 684.42, 942.12 and 596.94 is: 821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.42 : 942.12 = 596.94 : x
  2. Step 2: Convert to fraction form
    684.42/942.12 = 596.94/x
  3. Step 3: Cross multiply
    684.42x = 942.12 × 596.94
  4. Step 4: Simplify right side
    684.42x = 562,389.11
  5. Step 5: Solve for x
    x = 562,389.11/684.42
  6. Step 6: Final answer
    x = 821.70

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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.