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Finding the Fourth Proportional to 949.53, 1,423.98 and 643.08

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Solution

The fourth proportional to 949.53, 1,423.98 and 643.08 is: 964.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.53 : 1,423.98 = 643.08 : x
  2. Step 2: Convert to fraction form
    949.53/1,423.98 = 643.08/x
  3. Step 3: Cross multiply
    949.53x = 1,423.98 × 643.08
  4. Step 4: Simplify right side
    949.53x = 915,733.06
  5. Step 5: Solve for x
    x = 915,733.06/949.53
  6. Step 6: Final answer
    x = 964.41

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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.