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Finding the Fourth Proportional to 657.23, 984.69 and 585.74

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Solution

The fourth proportional to 657.23, 984.69 and 585.74 is: 877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.23 : 984.69 = 585.74 : x
  2. Step 2: Convert to fraction form
    657.23/984.69 = 585.74/x
  3. Step 3: Cross multiply
    657.23x = 984.69 × 585.74
  4. Step 4: Simplify right side
    657.23x = 576,767.40
  5. Step 5: Solve for x
    x = 576,767.40/657.23
  6. Step 6: Final answer
    x = 877.57

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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.