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Finding the Fourth Proportional to 770.96, 1,063.08 and 522.32

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Solution

The fourth proportional to 770.96, 1,063.08 and 522.32 is: 720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.96 : 1,063.08 = 522.32 : x
  2. Step 2: Convert to fraction form
    770.96/1,063.08 = 522.32/x
  3. Step 3: Cross multiply
    770.96x = 1,063.08 × 522.32
  4. Step 4: Simplify right side
    770.96x = 555,267.95
  5. Step 5: Solve for x
    x = 555,267.95/770.96
  6. Step 6: Final answer
    x = 720.23

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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.