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Finding the Fourth Proportional to 858.45, 1,289.93 and 493.41

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Solution

The fourth proportional to 858.45, 1,289.93 and 493.41 is: 741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.45 : 1,289.93 = 493.41 : x
  2. Step 2: Convert to fraction form
    858.45/1,289.93 = 493.41/x
  3. Step 3: Cross multiply
    858.45x = 1,289.93 × 493.41
  4. Step 4: Simplify right side
    858.45x = 636,461.89
  5. Step 5: Solve for x
    x = 636,461.89/858.45
  6. Step 6: Final answer
    x = 741.41

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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.