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Finding the Fourth Proportional to 495.52, 683.02 and 390.43

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Solution

The fourth proportional to 495.52, 683.02 and 390.43 is: 538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.52 : 683.02 = 390.43 : x
  2. Step 2: Convert to fraction form
    495.52/683.02 = 390.43/x
  3. Step 3: Cross multiply
    495.52x = 683.02 × 390.43
  4. Step 4: Simplify right side
    495.52x = 266,675.86
  5. Step 5: Solve for x
    x = 266,675.86/495.52
  6. Step 6: Final answer
    x = 538.17

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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.