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Finding the Fourth Proportional to 684.55, 945.37 and 435.98

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Solution

The fourth proportional to 684.55, 945.37 and 435.98 is: 602.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.55 : 945.37 = 435.98 : x
  2. Step 2: Convert to fraction form
    684.55/945.37 = 435.98/x
  3. Step 3: Cross multiply
    684.55x = 945.37 × 435.98
  4. Step 4: Simplify right side
    684.55x = 412,165.32
  5. Step 5: Solve for x
    x = 412,165.32/684.55
  6. Step 6: Final answer
    x = 602.10

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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.