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Finding the Fourth Proportional to 1,230.90, 1,846.29 and 500.45

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Solution

The fourth proportional to 1,230.90, 1,846.29 and 500.45 is: 750.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.90 : 1,846.29 = 500.45 : x
  2. Step 2: Convert to fraction form
    1,230.90/1,846.29 = 500.45/x
  3. Step 3: Cross multiply
    1,230.90x = 1,846.29 × 500.45
  4. Step 4: Simplify right side
    1,230.90x = 923,968.48
  5. Step 5: Solve for x
    x = 923,968.48/1,230.90
  6. Step 6: Final answer
    x = 750.65

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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.