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Finding the Fourth Proportional to 693.23, 957.14 and 561.04

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Solution

The fourth proportional to 693.23, 957.14 and 561.04 is: 774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.23 : 957.14 = 561.04 : x
  2. Step 2: Convert to fraction form
    693.23/957.14 = 561.04/x
  3. Step 3: Cross multiply
    693.23x = 957.14 × 561.04
  4. Step 4: Simplify right side
    693.23x = 536,996.42
  5. Step 5: Solve for x
    x = 536,996.42/693.23
  6. Step 6: Final answer
    x = 774.63

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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.