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Finding the Fourth Proportional to 463.02, 693.49 and 359.49

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Solution

The fourth proportional to 463.02, 693.49 and 359.49 is: 538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.02 : 693.49 = 359.49 : x
  2. Step 2: Convert to fraction form
    463.02/693.49 = 359.49/x
  3. Step 3: Cross multiply
    463.02x = 693.49 × 359.49
  4. Step 4: Simplify right side
    463.02x = 249,302.72
  5. Step 5: Solve for x
    x = 249,302.72/463.02
  6. Step 6: Final answer
    x = 538.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.