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Finding the Fourth Proportional to 463.95, 690.93 and 436

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Solution

The fourth proportional to 463.95, 690.93 and 436 is: 649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.95 : 690.93 = 436 : x
  2. Step 2: Convert to fraction form
    463.95/690.93 = 436/x
  3. Step 3: Cross multiply
    463.95x = 690.93 × 436
  4. Step 4: Simplify right side
    463.95x = 301,245.48
  5. Step 5: Solve for x
    x = 301,245.48/463.95
  6. Step 6: Final answer
    x = 649.31

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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.