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Finding the Fourth Proportional to 495.48, 683.40 and 320.52

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Solution

The fourth proportional to 495.48, 683.40 and 320.52 is: 442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.48 : 683.40 = 320.52 : x
  2. Step 2: Convert to fraction form
    495.48/683.40 = 320.52/x
  3. Step 3: Cross multiply
    495.48x = 683.40 × 320.52
  4. Step 4: Simplify right side
    495.48x = 219,043.37
  5. Step 5: Solve for x
    x = 219,043.37/495.48
  6. Step 6: Final answer
    x = 442.08

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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.