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Finding the Fourth Proportional to 1,289.68, 1,934.50 and 315.79

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Solution

The fourth proportional to 1,289.68, 1,934.50 and 315.79 is: 473.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.68 : 1,934.50 = 315.79 : x
  2. Step 2: Convert to fraction form
    1,289.68/1,934.50 = 315.79/x
  3. Step 3: Cross multiply
    1,289.68x = 1,934.50 × 315.79
  4. Step 4: Simplify right side
    1,289.68x = 610,895.76
  5. Step 5: Solve for x
    x = 610,895.76/1,289.68
  6. Step 6: Final answer
    x = 473.68

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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.