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Finding the Fourth Proportional to 963.04, 1,443.08 and 442.72

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Solution

The fourth proportional to 963.04, 1,443.08 and 442.72 is: 663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.04 : 1,443.08 = 442.72 : x
  2. Step 2: Convert to fraction form
    963.04/1,443.08 = 442.72/x
  3. Step 3: Cross multiply
    963.04x = 1,443.08 × 442.72
  4. Step 4: Simplify right side
    963.04x = 638,880.38
  5. Step 5: Solve for x
    x = 638,880.38/963.04
  6. Step 6: Final answer
    x = 663.40

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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.