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Finding the Fourth Proportional to 841.21, 1,259.38 and 566.35

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Solution

The fourth proportional to 841.21, 1,259.38 and 566.35 is: 847.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.21 : 1,259.38 = 566.35 : x
  2. Step 2: Convert to fraction form
    841.21/1,259.38 = 566.35/x
  3. Step 3: Cross multiply
    841.21x = 1,259.38 × 566.35
  4. Step 4: Simplify right side
    841.21x = 713,249.86
  5. Step 5: Solve for x
    x = 713,249.86/841.21
  6. Step 6: Final answer
    x = 847.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.