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Finding the Fourth Proportional to 2,275.30, 3,412.95 and 715.33

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Solution

The fourth proportional to 2,275.30, 3,412.95 and 715.33 is: 1,073.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.30 : 3,412.95 = 715.33 : x
  2. Step 2: Convert to fraction form
    2,275.30/3,412.95 = 715.33/x
  3. Step 3: Cross multiply
    2,275.30x = 3,412.95 × 715.33
  4. Step 4: Simplify right side
    2,275.30x = 2,441,385.52
  5. Step 5: Solve for x
    x = 2,441,385.52/2,275.30
  6. Step 6: Final answer
    x = 1,073.00

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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.