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Finding the Fourth Proportional to 495.76, 740 and 482.08

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Solution

The fourth proportional to 495.76, 740 and 482.08 is: 719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.76 : 740 = 482.08 : x
  2. Step 2: Convert to fraction form
    495.76/740 = 482.08/x
  3. Step 3: Cross multiply
    495.76x = 740 × 482.08
  4. Step 4: Simplify right side
    495.76x = 356,739.20
  5. Step 5: Solve for x
    x = 356,739.20/495.76
  6. Step 6: Final answer
    x = 719.58

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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.