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Finding the Fourth Proportional to 913.53, 1,369.76 and 336.45

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Solution

The fourth proportional to 913.53, 1,369.76 and 336.45 is: 504.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.53 : 1,369.76 = 336.45 : x
  2. Step 2: Convert to fraction form
    913.53/1,369.76 = 336.45/x
  3. Step 3: Cross multiply
    913.53x = 1,369.76 × 336.45
  4. Step 4: Simplify right side
    913.53x = 460,854.07
  5. Step 5: Solve for x
    x = 460,854.07/913.53
  6. Step 6: Final answer
    x = 504.48

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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.