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Finding the Fourth Proportional to 463.12, 690.26 and 437.18

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Solution

The fourth proportional to 463.12, 690.26 and 437.18 is: 651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.12 : 690.26 = 437.18 : x
  2. Step 2: Convert to fraction form
    463.12/690.26 = 437.18/x
  3. Step 3: Cross multiply
    463.12x = 690.26 × 437.18
  4. Step 4: Simplify right side
    463.12x = 301,767.87
  5. Step 5: Solve for x
    x = 301,767.87/463.12
  6. Step 6: Final answer
    x = 651.60

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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.