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Finding the Fourth Proportional to 770.83, 1,063.76 and 602.98

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Solution

The fourth proportional to 770.83, 1,063.76 and 602.98 is: 832.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.83 : 1,063.76 = 602.98 : x
  2. Step 2: Convert to fraction form
    770.83/1,063.76 = 602.98/x
  3. Step 3: Cross multiply
    770.83x = 1,063.76 × 602.98
  4. Step 4: Simplify right side
    770.83x = 641,420.33
  5. Step 5: Solve for x
    x = 641,420.33/770.83
  6. Step 6: Final answer
    x = 832.12

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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.