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Finding the Fourth Proportional to 660.21, 985.47 and 574.16

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Solution

The fourth proportional to 660.21, 985.47 and 574.16 is: 857.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.21 : 985.47 = 574.16 : x
  2. Step 2: Convert to fraction form
    660.21/985.47 = 574.16/x
  3. Step 3: Cross multiply
    660.21x = 985.47 × 574.16
  4. Step 4: Simplify right side
    660.21x = 565,812.53
  5. Step 5: Solve for x
    x = 565,812.53/660.21
  6. Step 6: Final answer
    x = 857.02

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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.