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Finding the Fourth Proportional to 841.54, 1,259.31 and 734.50

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Solution

The fourth proportional to 841.54, 1,259.31 and 734.50 is: 1,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.54 : 1,259.31 = 734.50 : x
  2. Step 2: Convert to fraction form
    841.54/1,259.31 = 734.50/x
  3. Step 3: Cross multiply
    841.54x = 1,259.31 × 734.50
  4. Step 4: Simplify right side
    841.54x = 924,963.20
  5. Step 5: Solve for x
    x = 924,963.20/841.54
  6. Step 6: Final answer
    x = 1,099.13

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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.