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Finding the Fourth Proportional to 736, 1,014.56 and 648.16

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Solution

The fourth proportional to 736, 1,014.56 and 648.16 is: 893.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    736 : 1,014.56 = 648.16 : x
  2. Step 2: Convert to fraction form
    736/1,014.56 = 648.16/x
  3. Step 3: Cross multiply
    736x = 1,014.56 × 648.16
  4. Step 4: Simplify right side
    736x = 657,597.21
  5. Step 5: Solve for x
    x = 657,597.21/736
  6. Step 6: Final answer
    x = 893.47

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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.