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Finding the Fourth Proportional to 495.40, 684.30 and 380.38

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Solution

The fourth proportional to 495.40, 684.30 and 380.38 is: 525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.40 : 684.30 = 380.38 : x
  2. Step 2: Convert to fraction form
    495.40/684.30 = 380.38/x
  3. Step 3: Cross multiply
    495.40x = 684.30 × 380.38
  4. Step 4: Simplify right side
    495.40x = 260,294.03
  5. Step 5: Solve for x
    x = 260,294.03/495.40
  6. Step 6: Final answer
    x = 525.42

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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.