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Finding the Fourth Proportional to 697.37, 1,045.37 and 332.42

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Solution

The fourth proportional to 697.37, 1,045.37 and 332.42 is: 498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.37 : 1,045.37 = 332.42 : x
  2. Step 2: Convert to fraction form
    697.37/1,045.37 = 332.42/x
  3. Step 3: Cross multiply
    697.37x = 1,045.37 × 332.42
  4. Step 4: Simplify right side
    697.37x = 347,495.01
  5. Step 5: Solve for x
    x = 347,495.01/697.37
  6. Step 6: Final answer
    x = 498.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.