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Finding the Fourth Proportional to 693.59, 957.93 and 538.10

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Solution

The fourth proportional to 693.59, 957.93 and 538.10 is: 743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.59 : 957.93 = 538.10 : x
  2. Step 2: Convert to fraction form
    693.59/957.93 = 538.10/x
  3. Step 3: Cross multiply
    693.59x = 957.93 × 538.10
  4. Step 4: Simplify right side
    693.59x = 515,467.33
  5. Step 5: Solve for x
    x = 515,467.33/693.59
  6. Step 6: Final answer
    x = 743.18

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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.