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Finding the Fourth Proportional to 770.58, 1,064.51 and 620.98

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Solution

The fourth proportional to 770.58, 1,064.51 and 620.98 is: 857.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.58 : 1,064.51 = 620.98 : x
  2. Step 2: Convert to fraction form
    770.58/1,064.51 = 620.98/x
  3. Step 3: Cross multiply
    770.58x = 1,064.51 × 620.98
  4. Step 4: Simplify right side
    770.58x = 661,039.42
  5. Step 5: Solve for x
    x = 661,039.42/770.58
  6. Step 6: Final answer
    x = 857.85

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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.