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Finding the Fourth Proportional to 660.42, 985.89 and 574.02

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Solution

The fourth proportional to 660.42, 985.89 and 574.02 is: 856.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.42 : 985.89 = 574.02 : x
  2. Step 2: Convert to fraction form
    660.42/985.89 = 574.02/x
  3. Step 3: Cross multiply
    660.42x = 985.89 × 574.02
  4. Step 4: Simplify right side
    660.42x = 565,917.71
  5. Step 5: Solve for x
    x = 565,917.71/660.42
  6. Step 6: Final answer
    x = 856.91

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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.