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Finding the Fourth Proportional to 697.63, 962.35 and 435.46

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Solution

The fourth proportional to 697.63, 962.35 and 435.46 is: 600.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.63 : 962.35 = 435.46 : x
  2. Step 2: Convert to fraction form
    697.63/962.35 = 435.46/x
  3. Step 3: Cross multiply
    697.63x = 962.35 × 435.46
  4. Step 4: Simplify right side
    697.63x = 419,064.93
  5. Step 5: Solve for x
    x = 419,064.93/697.63
  6. Step 6: Final answer
    x = 600.70

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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.