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Finding the Fourth Proportional to 463.70, 690.56 and 435.75

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Solution

The fourth proportional to 463.70, 690.56 and 435.75 is: 648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.70 : 690.56 = 435.75 : x
  2. Step 2: Convert to fraction form
    463.70/690.56 = 435.75/x
  3. Step 3: Cross multiply
    463.70x = 690.56 × 435.75
  4. Step 4: Simplify right side
    463.70x = 300,909.34
  5. Step 5: Solve for x
    x = 300,909.34/463.70
  6. Step 6: Final answer
    x = 648.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.