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Finding the Fourth Proportional to 642.53, 964.02 and 368.85

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Solution

The fourth proportional to 642.53, 964.02 and 368.85 is: 553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.53 : 964.02 = 368.85 : x
  2. Step 2: Convert to fraction form
    642.53/964.02 = 368.85/x
  3. Step 3: Cross multiply
    642.53x = 964.02 × 368.85
  4. Step 4: Simplify right side
    642.53x = 355,578.78
  5. Step 5: Solve for x
    x = 355,578.78/642.53
  6. Step 6: Final answer
    x = 553.40

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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.