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Finding the Fourth Proportional to 782.59, 1,173.99 and 288.93

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Solution

The fourth proportional to 782.59, 1,173.99 and 288.93 is: 433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.59 : 1,173.99 = 288.93 : x
  2. Step 2: Convert to fraction form
    782.59/1,173.99 = 288.93/x
  3. Step 3: Cross multiply
    782.59x = 1,173.99 × 288.93
  4. Step 4: Simplify right side
    782.59x = 339,200.93
  5. Step 5: Solve for x
    x = 339,200.93/782.59
  6. Step 6: Final answer
    x = 433.43

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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.