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Finding the Fourth Proportional to 829.79, 1,244.88 and 464.83

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Solution

The fourth proportional to 829.79, 1,244.88 and 464.83 is: 697.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.79 : 1,244.88 = 464.83 : x
  2. Step 2: Convert to fraction form
    829.79/1,244.88 = 464.83/x
  3. Step 3: Cross multiply
    829.79x = 1,244.88 × 464.83
  4. Step 4: Simplify right side
    829.79x = 578,657.57
  5. Step 5: Solve for x
    x = 578,657.57/829.79
  6. Step 6: Final answer
    x = 697.35

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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.