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Finding the Fourth Proportional to 1,147.18, 1,720.95 and 377.50

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Solution

The fourth proportional to 1,147.18, 1,720.95 and 377.50 is: 566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.18 : 1,720.95 = 377.50 : x
  2. Step 2: Convert to fraction form
    1,147.18/1,720.95 = 377.50/x
  3. Step 3: Cross multiply
    1,147.18x = 1,720.95 × 377.50
  4. Step 4: Simplify right side
    1,147.18x = 649,658.63
  5. Step 5: Solve for x
    x = 649,658.63/1,147.18
  6. Step 6: Final answer
    x = 566.31

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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.