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Finding the Fourth Proportional to 770.56, 1,063.32 and 460

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Solution

The fourth proportional to 770.56, 1,063.32 and 460 is: 634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.56 : 1,063.32 = 460 : x
  2. Step 2: Convert to fraction form
    770.56/1,063.32 = 460/x
  3. Step 3: Cross multiply
    770.56x = 1,063.32 × 460
  4. Step 4: Simplify right side
    770.56x = 489,127.20
  5. Step 5: Solve for x
    x = 489,127.20/770.56
  6. Step 6: Final answer
    x = 634.77

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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.