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Finding the Fourth Proportional to 648.21, 967.58 and 562.15

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Solution

The fourth proportional to 648.21, 967.58 and 562.15 is: 839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.21 : 967.58 = 562.15 : x
  2. Step 2: Convert to fraction form
    648.21/967.58 = 562.15/x
  3. Step 3: Cross multiply
    648.21x = 967.58 × 562.15
  4. Step 4: Simplify right side
    648.21x = 543,924.08
  5. Step 5: Solve for x
    x = 543,924.08/648.21
  6. Step 6: Final answer
    x = 839.12

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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.