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Finding the Fourth Proportional to 697.26, 962.51 and 435.40

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Solution

The fourth proportional to 697.26, 962.51 and 435.40 is: 601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.26 : 962.51 = 435.40 : x
  2. Step 2: Convert to fraction form
    697.26/962.51 = 435.40/x
  3. Step 3: Cross multiply
    697.26x = 962.51 × 435.40
  4. Step 4: Simplify right side
    697.26x = 419,076.85
  5. Step 5: Solve for x
    x = 419,076.85/697.26
  6. Step 6: Final answer
    x = 601.03

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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.