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Finding the Fourth Proportional to 913.48, 1,370.76 and 336.76

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Solution

The fourth proportional to 913.48, 1,370.76 and 336.76 is: 505.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.48 : 1,370.76 = 336.76 : x
  2. Step 2: Convert to fraction form
    913.48/1,370.76 = 336.76/x
  3. Step 3: Cross multiply
    913.48x = 1,370.76 × 336.76
  4. Step 4: Simplify right side
    913.48x = 461,617.14
  5. Step 5: Solve for x
    x = 461,617.14/913.48
  6. Step 6: Final answer
    x = 505.34

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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.