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Finding the Fourth Proportional to 566.90, 782.78 and 421.10

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Solution

The fourth proportional to 566.90, 782.78 and 421.10 is: 581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.90 : 782.78 = 421.10 : x
  2. Step 2: Convert to fraction form
    566.90/782.78 = 421.10/x
  3. Step 3: Cross multiply
    566.90x = 782.78 × 421.10
  4. Step 4: Simplify right side
    566.90x = 329,628.66
  5. Step 5: Solve for x
    x = 329,628.66/566.90
  6. Step 6: Final answer
    x = 581.46

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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.