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Finding the Fourth Proportional to 1,275.28, 1,913.04 and 350.90

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Solution

The fourth proportional to 1,275.28, 1,913.04 and 350.90 is: 526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.28 : 1,913.04 = 350.90 : x
  2. Step 2: Convert to fraction form
    1,275.28/1,913.04 = 350.90/x
  3. Step 3: Cross multiply
    1,275.28x = 1,913.04 × 350.90
  4. Step 4: Simplify right side
    1,275.28x = 671,285.74
  5. Step 5: Solve for x
    x = 671,285.74/1,275.28
  6. Step 6: Final answer
    x = 526.38

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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.