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Finding the Fourth Proportional to 919.65, 1,269.15 and 500.00

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Solution

The fourth proportional to 919.65, 1,269.15 and 500.00 is: 690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.65 : 1,269.15 = 500.00 : x
  2. Step 2: Convert to fraction form
    919.65/1,269.15 = 500.00/x
  3. Step 3: Cross multiply
    919.65x = 1,269.15 × 500.00
  4. Step 4: Simplify right side
    919.65x = 634,576.73
  5. Step 5: Solve for x
    x = 634,576.73/919.65
  6. Step 6: Final answer
    x = 690.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.