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Finding the Fourth Proportional to 684.30, 942.68 and 544.37

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Solution

The fourth proportional to 684.30, 942.68 and 544.37 is: 749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.30 : 942.68 = 544.37 : x
  2. Step 2: Convert to fraction form
    684.30/942.68 = 544.37/x
  3. Step 3: Cross multiply
    684.30x = 942.68 × 544.37
  4. Step 4: Simplify right side
    684.30x = 513,166.71
  5. Step 5: Solve for x
    x = 513,166.71/684.30
  6. Step 6: Final answer
    x = 749.91

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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.