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Finding the Fourth Proportional to 841.74, 1,161 and 543.06

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Solution

The fourth proportional to 841.74, 1,161 and 543.06 is: 749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.74 : 1,161 = 543.06 : x
  2. Step 2: Convert to fraction form
    841.74/1,161 = 543.06/x
  3. Step 3: Cross multiply
    841.74x = 1,161 × 543.06
  4. Step 4: Simplify right side
    841.74x = 630,492.66
  5. Step 5: Solve for x
    x = 630,492.66/841.74
  6. Step 6: Final answer
    x = 749.03

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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.