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Finding the Fourth Proportional to 657.65, 983.57 and 585.03

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Solution

The fourth proportional to 657.65, 983.57 and 585.03 is: 874.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.65 : 983.57 = 585.03 : x
  2. Step 2: Convert to fraction form
    657.65/983.57 = 585.03/x
  3. Step 3: Cross multiply
    657.65x = 983.57 × 585.03
  4. Step 4: Simplify right side
    657.65x = 575,418.72
  5. Step 5: Solve for x
    x = 575,418.72/657.65
  6. Step 6: Final answer
    x = 874.96

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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.