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Finding the Fourth Proportional to 841.13, 1,261.63 and 378.93

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Solution

The fourth proportional to 841.13, 1,261.63 and 378.93 is: 568.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.13 : 1,261.63 = 378.93 : x
  2. Step 2: Convert to fraction form
    841.13/1,261.63 = 378.93/x
  3. Step 3: Cross multiply
    841.13x = 1,261.63 × 378.93
  4. Step 4: Simplify right side
    841.13x = 478,069.46
  5. Step 5: Solve for x
    x = 478,069.46/841.13
  6. Step 6: Final answer
    x = 568.37

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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.