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Finding the Fourth Proportional to 830.25, 1,245.78 and 500.99

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Solution

The fourth proportional to 830.25, 1,245.78 and 500.99 is: 751.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.25 : 1,245.78 = 500.99 : x
  2. Step 2: Convert to fraction form
    830.25/1,245.78 = 500.99/x
  3. Step 3: Cross multiply
    830.25x = 1,245.78 × 500.99
  4. Step 4: Simplify right side
    830.25x = 624,117.09
  5. Step 5: Solve for x
    x = 624,117.09/830.25
  6. Step 6: Final answer
    x = 751.72

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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.