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Finding the Fourth Proportional to 841.98, 1,161.90 and 469.02

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Solution

The fourth proportional to 841.98, 1,161.90 and 469.02 is: 647.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.98 : 1,161.90 = 469.02 : x
  2. Step 2: Convert to fraction form
    841.98/1,161.90 = 469.02/x
  3. Step 3: Cross multiply
    841.98x = 1,161.90 × 469.02
  4. Step 4: Simplify right side
    841.98x = 544,954.34
  5. Step 5: Solve for x
    x = 544,954.34/841.98
  6. Step 6: Final answer
    x = 647.23

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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.