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Finding the Fourth Proportional to 660.25, 988.84 and 574.30

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Solution

The fourth proportional to 660.25, 988.84 and 574.30 is: 860.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.25 : 988.84 = 574.30 : x
  2. Step 2: Convert to fraction form
    660.25/988.84 = 574.30/x
  3. Step 3: Cross multiply
    660.25x = 988.84 × 574.30
  4. Step 4: Simplify right side
    660.25x = 567,890.81
  5. Step 5: Solve for x
    x = 567,890.81/660.25
  6. Step 6: Final answer
    x = 860.11

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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.