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Finding the Fourth Proportional to 829.68, 1,239.24 and 782.32

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Solution

The fourth proportional to 829.68, 1,239.24 and 782.32 is: 1,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.68 : 1,239.24 = 782.32 : x
  2. Step 2: Convert to fraction form
    829.68/1,239.24 = 782.32/x
  3. Step 3: Cross multiply
    829.68x = 1,239.24 × 782.32
  4. Step 4: Simplify right side
    829.68x = 969,482.24
  5. Step 5: Solve for x
    x = 969,482.24/829.68
  6. Step 6: Final answer
    x = 1,168.50

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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.