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Finding the Fourth Proportional to 841.90, 1,162.22 and 562.60

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Solution

The fourth proportional to 841.90, 1,162.22 and 562.60 is: 776.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.90 : 1,162.22 = 562.60 : x
  2. Step 2: Convert to fraction form
    841.90/1,162.22 = 562.60/x
  3. Step 3: Cross multiply
    841.90x = 1,162.22 × 562.60
  4. Step 4: Simplify right side
    841.90x = 653,864.97
  5. Step 5: Solve for x
    x = 653,864.97/841.90
  6. Step 6: Final answer
    x = 776.65

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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.