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Finding the Fourth Proportional to 495.99, 740.96 and 321.23

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Solution

The fourth proportional to 495.99, 740.96 and 321.23 is: 479.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.99 : 740.96 = 321.23 : x
  2. Step 2: Convert to fraction form
    495.99/740.96 = 321.23/x
  3. Step 3: Cross multiply
    495.99x = 740.96 × 321.23
  4. Step 4: Simplify right side
    495.99x = 238,018.58
  5. Step 5: Solve for x
    x = 238,018.58/495.99
  6. Step 6: Final answer
    x = 479.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.