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Finding the Fourth Proportional to 719.83, 993.50 and 564.31

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Solution

The fourth proportional to 719.83, 993.50 and 564.31 is: 778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.83 : 993.50 = 564.31 : x
  2. Step 2: Convert to fraction form
    719.83/993.50 = 564.31/x
  3. Step 3: Cross multiply
    719.83x = 993.50 × 564.31
  4. Step 4: Simplify right side
    719.83x = 560,641.99
  5. Step 5: Solve for x
    x = 560,641.99/719.83
  6. Step 6: Final answer
    x = 778.85

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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.