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Finding the Fourth Proportional to 463.51, 639.25 and 390

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Solution

The fourth proportional to 463.51, 639.25 and 390 is: 537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.51 : 639.25 = 390 : x
  2. Step 2: Convert to fraction form
    463.51/639.25 = 390/x
  3. Step 3: Cross multiply
    463.51x = 639.25 × 390
  4. Step 4: Simplify right side
    463.51x = 249,307.50
  5. Step 5: Solve for x
    x = 249,307.50/463.51
  6. Step 6: Final answer
    x = 537.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.