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Finding the Fourth Proportional to 770.66, 1,063.48 and 421.36

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Solution

The fourth proportional to 770.66, 1,063.48 and 421.36 is: 581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.66 : 1,063.48 = 421.36 : x
  2. Step 2: Convert to fraction form
    770.66/1,063.48 = 421.36/x
  3. Step 3: Cross multiply
    770.66x = 1,063.48 × 421.36
  4. Step 4: Simplify right side
    770.66x = 448,107.93
  5. Step 5: Solve for x
    x = 448,107.93/770.66
  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.