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Finding the Fourth Proportional to 482.96, 719.50 and 459.74

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Solution

The fourth proportional to 482.96, 719.50 and 459.74 is: 684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.96 : 719.50 = 459.74 : x
  2. Step 2: Convert to fraction form
    482.96/719.50 = 459.74/x
  3. Step 3: Cross multiply
    482.96x = 719.50 × 459.74
  4. Step 4: Simplify right side
    482.96x = 330,782.93
  5. Step 5: Solve for x
    x = 330,782.93/482.96
  6. Step 6: Final answer
    x = 684.91

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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.