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Finding the Fourth Proportional to 1,275.64, 1,913.64 and 410.14

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Solution

The fourth proportional to 1,275.64, 1,913.64 and 410.14 is: 615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.64 : 1,913.64 = 410.14 : x
  2. Step 2: Convert to fraction form
    1,275.64/1,913.64 = 410.14/x
  3. Step 3: Cross multiply
    1,275.64x = 1,913.64 × 410.14
  4. Step 4: Simplify right side
    1,275.64x = 784,860.31
  5. Step 5: Solve for x
    x = 784,860.31/1,275.64
  6. Step 6: Final answer
    x = 615.27

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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.