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Finding the Fourth Proportional to 648.04, 967.08 and 578.84

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Solution

The fourth proportional to 648.04, 967.08 and 578.84 is: 863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.04 : 967.08 = 578.84 : x
  2. Step 2: Convert to fraction form
    648.04/967.08 = 578.84/x
  3. Step 3: Cross multiply
    648.04x = 967.08 × 578.84
  4. Step 4: Simplify right side
    648.04x = 559,784.59
  5. Step 5: Solve for x
    x = 559,784.59/648.04
  6. Step 6: Final answer
    x = 863.81

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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.