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Finding the Fourth Proportional to 463.79, 690.60 and 458.63

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Solution

The fourth proportional to 463.79, 690.60 and 458.63 is: 682.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.79 : 690.60 = 458.63 : x
  2. Step 2: Convert to fraction form
    463.79/690.60 = 458.63/x
  3. Step 3: Cross multiply
    463.79x = 690.60 × 458.63
  4. Step 4: Simplify right side
    463.79x = 316,729.88
  5. Step 5: Solve for x
    x = 316,729.88/463.79
  6. Step 6: Final answer
    x = 682.92

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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.