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Finding the Fourth Proportional to 463.30, 690.46 and 436.64

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Solution

The fourth proportional to 463.30, 690.46 and 436.64 is: 650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.30 : 690.46 = 436.64 : x
  2. Step 2: Convert to fraction form
    463.30/690.46 = 436.64/x
  3. Step 3: Cross multiply
    463.30x = 690.46 × 436.64
  4. Step 4: Simplify right side
    463.30x = 301,482.45
  5. Step 5: Solve for x
    x = 301,482.45/463.30
  6. Step 6: Final answer
    x = 650.73

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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.