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Finding the Fourth Proportional to 841.90, 1,161.79 and 468.87

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Solution

The fourth proportional to 841.90, 1,161.79 and 468.87 is: 647.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.90 : 1,161.79 = 468.87 : x
  2. Step 2: Convert to fraction form
    841.90/1,161.79 = 468.87/x
  3. Step 3: Cross multiply
    841.90x = 1,161.79 × 468.87
  4. Step 4: Simplify right side
    841.90x = 544,728.48
  5. Step 5: Solve for x
    x = 544,728.48/841.90
  6. Step 6: Final answer
    x = 647.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.