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Finding the Fourth Proportional to 648.19, 967.28 and 578.98

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Solution

The fourth proportional to 648.19, 967.28 and 578.98 is: 864.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.19 : 967.28 = 578.98 : x
  2. Step 2: Convert to fraction form
    648.19/967.28 = 578.98/x
  3. Step 3: Cross multiply
    648.19x = 967.28 × 578.98
  4. Step 4: Simplify right side
    648.19x = 560,035.77
  5. Step 5: Solve for x
    x = 560,035.77/648.19
  6. Step 6: Final answer
    x = 864.00

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Double scale
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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.