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Finding the Fourth Proportional to 792.65, 1,187.95 and 585.57

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Solution

The fourth proportional to 792.65, 1,187.95 and 585.57 is: 877.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.65 : 1,187.95 = 585.57 : x
  2. Step 2: Convert to fraction form
    792.65/1,187.95 = 585.57/x
  3. Step 3: Cross multiply
    792.65x = 1,187.95 × 585.57
  4. Step 4: Simplify right side
    792.65x = 695,627.88
  5. Step 5: Solve for x
    x = 695,627.88/792.65
  6. Step 6: Final answer
    x = 877.60

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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.