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Finding the Fourth Proportional to 495.40, 684.32 and 380.40

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Solution

The fourth proportional to 495.40, 684.32 and 380.40 is: 525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.40 : 684.32 = 380.40 : x
  2. Step 2: Convert to fraction form
    495.40/684.32 = 380.40/x
  3. Step 3: Cross multiply
    495.40x = 684.32 × 380.40
  4. Step 4: Simplify right side
    495.40x = 260,315.33
  5. Step 5: Solve for x
    x = 260,315.33/495.40
  6. Step 6: Final answer
    x = 525.46

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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.