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Finding the Fourth Proportional to 841.35, 1,161.55 and 562.00

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Solution

The fourth proportional to 841.35, 1,161.55 and 562.00 is: 775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.35 : 1,161.55 = 562.00 : x
  2. Step 2: Convert to fraction form
    841.35/1,161.55 = 562.00/x
  3. Step 3: Cross multiply
    841.35x = 1,161.55 × 562.00
  4. Step 4: Simplify right side
    841.35x = 652,782.48
  5. Step 5: Solve for x
    x = 652,782.48/841.35
  6. Step 6: Final answer
    x = 775.88

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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.