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Finding the Fourth Proportional to 657.79, 985.74 and 483.08

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Solution

The fourth proportional to 657.79, 985.74 and 483.08 is: 723.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.79 : 985.74 = 483.08 : x
  2. Step 2: Convert to fraction form
    657.79/985.74 = 483.08/x
  3. Step 3: Cross multiply
    657.79x = 985.74 × 483.08
  4. Step 4: Simplify right side
    657.79x = 476,193.14
  5. Step 5: Solve for x
    x = 476,193.14/657.79
  6. Step 6: Final answer
    x = 723.93

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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.