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Finding the Fourth Proportional to 660.29, 985.30 and 572.81

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Solution

The fourth proportional to 660.29, 985.30 and 572.81 is: 854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.29 : 985.30 = 572.81 : x
  2. Step 2: Convert to fraction form
    660.29/985.30 = 572.81/x
  3. Step 3: Cross multiply
    660.29x = 985.30 × 572.81
  4. Step 4: Simplify right side
    660.29x = 564,389.69
  5. Step 5: Solve for x
    x = 564,389.69/660.29
  6. Step 6: Final answer
    x = 854.76

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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.