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Finding the Fourth Proportional to 770.63, 1,063.47 and 460.13

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Solution

The fourth proportional to 770.63, 1,063.47 and 460.13 is: 634.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.63 : 1,063.47 = 460.13 : x
  2. Step 2: Convert to fraction form
    770.63/1,063.47 = 460.13/x
  3. Step 3: Cross multiply
    770.63x = 1,063.47 × 460.13
  4. Step 4: Simplify right side
    770.63x = 489,329.13
  5. Step 5: Solve for x
    x = 489,329.13/770.63
  6. Step 6: Final answer
    x = 634.98

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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.