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Finding the Fourth Proportional to 829.16, 1,243.58 and 309.04

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Solution

The fourth proportional to 829.16, 1,243.58 and 309.04 is: 463.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.16 : 1,243.58 = 309.04 : x
  2. Step 2: Convert to fraction form
    829.16/1,243.58 = 309.04/x
  3. Step 3: Cross multiply
    829.16x = 1,243.58 × 309.04
  4. Step 4: Simplify right side
    829.16x = 384,313.63
  5. Step 5: Solve for x
    x = 384,313.63/829.16
  6. Step 6: Final answer
    x = 463.50

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1.5x scale

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.