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Finding the Fourth Proportional to 719.70, 1,074.95 and 574.98

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Solution

The fourth proportional to 719.70, 1,074.95 and 574.98 is: 858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.70 : 1,074.95 = 574.98 : x
  2. Step 2: Convert to fraction form
    719.70/1,074.95 = 574.98/x
  3. Step 3: Cross multiply
    719.70x = 1,074.95 × 574.98
  4. Step 4: Simplify right side
    719.70x = 618,071.88
  5. Step 5: Solve for x
    x = 618,071.88/719.70
  6. Step 6: Final answer
    x = 858.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.