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Finding the Fourth Proportional to 948.51, 1,423.98 and 624.51

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Solution

The fourth proportional to 948.51, 1,423.98 and 624.51 is: 937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.51 : 1,423.98 = 624.51 : x
  2. Step 2: Convert to fraction form
    948.51/1,423.98 = 624.51/x
  3. Step 3: Cross multiply
    948.51x = 1,423.98 × 624.51
  4. Step 4: Simplify right side
    948.51x = 889,289.75
  5. Step 5: Solve for x
    x = 889,289.75/948.51
  6. Step 6: Final answer
    x = 937.56

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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.