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Finding the Fourth Proportional to 697.14, 962.28 and 648.54

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Solution

The fourth proportional to 697.14, 962.28 and 648.54 is: 895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.14 : 962.28 = 648.54 : x
  2. Step 2: Convert to fraction form
    697.14/962.28 = 648.54/x
  3. Step 3: Cross multiply
    697.14x = 962.28 × 648.54
  4. Step 4: Simplify right side
    697.14x = 624,077.07
  5. Step 5: Solve for x
    x = 624,077.07/697.14
  6. Step 6: Final answer
    x = 895.20

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1.5x scale

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.