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Finding the Fourth Proportional to 1,505.68, 2,258.16 and 410.14

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Solution

The fourth proportional to 1,505.68, 2,258.16 and 410.14 is: 615.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.68 : 2,258.16 = 410.14 : x
  2. Step 2: Convert to fraction form
    1,505.68/2,258.16 = 410.14/x
  3. Step 3: Cross multiply
    1,505.68x = 2,258.16 × 410.14
  4. Step 4: Simplify right side
    1,505.68x = 926,161.74
  5. Step 5: Solve for x
    x = 926,161.74/1,505.68
  6. Step 6: Final answer
    x = 615.11

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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.