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Finding the Fourth Proportional to 684.11, 942.95 and 462.98

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Solution

The fourth proportional to 684.11, 942.95 and 462.98 is: 638.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.11 : 942.95 = 462.98 : x
  2. Step 2: Convert to fraction form
    684.11/942.95 = 462.98/x
  3. Step 3: Cross multiply
    684.11x = 942.95 × 462.98
  4. Step 4: Simplify right side
    684.11x = 436,570.51
  5. Step 5: Solve for x
    x = 436,570.51/684.11
  6. Step 6: Final answer
    x = 638.16

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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.