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Finding the Fourth Proportional to 660.96, 986.58 and 574.90

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Solution

The fourth proportional to 660.96, 986.58 and 574.90 is: 858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.96 : 986.58 = 574.90 : x
  2. Step 2: Convert to fraction form
    660.96/986.58 = 574.90/x
  3. Step 3: Cross multiply
    660.96x = 986.58 × 574.90
  4. Step 4: Simplify right side
    660.96x = 567,182.38
  5. Step 5: Solve for x
    x = 567,182.38/660.96
  6. Step 6: Final answer
    x = 858.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.