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Finding the Fourth Proportional to 594.50, 824.21 and 561.70

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Solution

The fourth proportional to 594.50, 824.21 and 561.70 is: 778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.50 : 824.21 = 561.70 : x
  2. Step 2: Convert to fraction form
    594.50/824.21 = 561.70/x
  3. Step 3: Cross multiply
    594.50x = 824.21 × 561.70
  4. Step 4: Simplify right side
    594.50x = 462,954.64
  5. Step 5: Solve for x
    x = 462,954.64/594.50
  6. Step 6: Final answer
    x = 778.73

Related Problems

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.