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Finding the Fourth Proportional to 693.60, 957 and 431.44

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Solution

The fourth proportional to 693.60, 957 and 431.44 is: 595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.60 : 957 = 431.44 : x
  2. Step 2: Convert to fraction form
    693.60/957 = 431.44/x
  3. Step 3: Cross multiply
    693.60x = 957 × 431.44
  4. Step 4: Simplify right side
    693.60x = 412,888.08
  5. Step 5: Solve for x
    x = 412,888.08/693.60
  6. Step 6: Final answer
    x = 595.28

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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.