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Finding the Fourth Proportional to 792.50, 1,189.66 and 619.36

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Solution

The fourth proportional to 792.50, 1,189.66 and 619.36 is: 929.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.50 : 1,189.66 = 619.36 : x
  2. Step 2: Convert to fraction form
    792.50/1,189.66 = 619.36/x
  3. Step 3: Cross multiply
    792.50x = 1,189.66 × 619.36
  4. Step 4: Simplify right side
    792.50x = 736,827.82
  5. Step 5: Solve for x
    x = 736,827.82/792.50
  6. Step 6: Final answer
    x = 929.75

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1.5x scale

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.