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Finding the Fourth Proportional to 648.70, 893.88 and 532.06

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Solution

The fourth proportional to 648.70, 893.88 and 532.06 is: 733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.70 : 893.88 = 532.06 : x
  2. Step 2: Convert to fraction form
    648.70/893.88 = 532.06/x
  3. Step 3: Cross multiply
    648.70x = 893.88 × 532.06
  4. Step 4: Simplify right side
    648.70x = 475,597.79
  5. Step 5: Solve for x
    x = 475,597.79/648.70
  6. Step 6: Final answer
    x = 733.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.