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Finding the Fourth Proportional to 841.50, 1,262.43 and 293.63

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Solution

The fourth proportional to 841.50, 1,262.43 and 293.63 is: 440.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.50 : 1,262.43 = 293.63 : x
  2. Step 2: Convert to fraction form
    841.50/1,262.43 = 293.63/x
  3. Step 3: Cross multiply
    841.50x = 1,262.43 × 293.63
  4. Step 4: Simplify right side
    841.50x = 370,681.01
  5. Step 5: Solve for x
    x = 370,681.01/841.50
  6. Step 6: Final answer
    x = 440.50

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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.