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Finding the Fourth Proportional to 913.14, 1,369.80 and 624.78

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Solution

The fourth proportional to 913.14, 1,369.80 and 624.78 is: 937.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.14 : 1,369.80 = 624.78 : x
  2. Step 2: Convert to fraction form
    913.14/1,369.80 = 624.78/x
  3. Step 3: Cross multiply
    913.14x = 1,369.80 × 624.78
  4. Step 4: Simplify right side
    913.14x = 855,823.64
  5. Step 5: Solve for x
    x = 855,823.64/913.14
  6. Step 6: Final answer
    x = 937.23

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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.