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Finding the Fourth Proportional to 1,613.53, 2,226.94 and 915.31

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Solution

The fourth proportional to 1,613.53, 2,226.94 and 915.31 is: 1,263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.53 : 2,226.94 = 915.31 : x
  2. Step 2: Convert to fraction form
    1,613.53/2,226.94 = 915.31/x
  3. Step 3: Cross multiply
    1,613.53x = 2,226.94 × 915.31
  4. Step 4: Simplify right side
    1,613.53x = 2,038,346.10
  5. Step 5: Solve for x
    x = 2,038,346.10/1,613.53
  6. Step 6: Final answer
    x = 1,263.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.