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Finding the Fourth Proportional to 830.16, 1,243.58 and 482.46

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Solution

The fourth proportional to 830.16, 1,243.58 and 482.46 is: 722.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.16 : 1,243.58 = 482.46 : x
  2. Step 2: Convert to fraction form
    830.16/1,243.58 = 482.46/x
  3. Step 3: Cross multiply
    830.16x = 1,243.58 × 482.46
  4. Step 4: Simplify right side
    830.16x = 599,975.19
  5. Step 5: Solve for x
    x = 599,975.19/830.16
  6. Step 6: Final answer
    x = 722.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.