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Finding the Fourth Proportional to 770.01, 1,060.71 and 559.58

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Solution

The fourth proportional to 770.01, 1,060.71 and 559.58 is: 770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.01 : 1,060.71 = 559.58 : x
  2. Step 2: Convert to fraction form
    770.01/1,060.71 = 559.58/x
  3. Step 3: Cross multiply
    770.01x = 1,060.71 × 559.58
  4. Step 4: Simplify right side
    770.01x = 593,546.80
  5. Step 5: Solve for x
    x = 593,546.80/770.01
  6. Step 6: Final answer
    x = 770.83

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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.