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Finding the Fourth Proportional to 465, 693.39 and 431.52

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Solution

The fourth proportional to 465, 693.39 and 431.52 is: 643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465 : 693.39 = 431.52 : x
  2. Step 2: Convert to fraction form
    465/693.39 = 431.52/x
  3. Step 3: Cross multiply
    465x = 693.39 × 431.52
  4. Step 4: Simplify right side
    465x = 299,211.65
  5. Step 5: Solve for x
    x = 299,211.65/465
  6. Step 6: Final answer
    x = 643.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.