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Finding the Fourth Proportional to 483.12, 719.72 and 459.40

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Solution

The fourth proportional to 483.12, 719.72 and 459.40 is: 684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.12 : 719.72 = 459.40 : x
  2. Step 2: Convert to fraction form
    483.12/719.72 = 459.40/x
  3. Step 3: Cross multiply
    483.12x = 719.72 × 459.40
  4. Step 4: Simplify right side
    483.12x = 330,639.37
  5. Step 5: Solve for x
    x = 330,639.37/483.12
  6. Step 6: Final answer
    x = 684.38

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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.