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Finding the Fourth Proportional to 913.29, 1,368.27 and 420.11

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Solution

The fourth proportional to 913.29, 1,368.27 and 420.11 is: 629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.29 : 1,368.27 = 420.11 : x
  2. Step 2: Convert to fraction form
    913.29/1,368.27 = 420.11/x
  3. Step 3: Cross multiply
    913.29x = 1,368.27 × 420.11
  4. Step 4: Simplify right side
    913.29x = 574,822.20
  5. Step 5: Solve for x
    x = 574,822.20/913.29
  6. Step 6: Final answer
    x = 629.40

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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.