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Finding the Fourth Proportional to 1,310.70, 1,966.53 and 661.50

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Solution

The fourth proportional to 1,310.70, 1,966.53 and 661.50 is: 992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.70 : 1,966.53 = 661.50 : x
  2. Step 2: Convert to fraction form
    1,310.70/1,966.53 = 661.50/x
  3. Step 3: Cross multiply
    1,310.70x = 1,966.53 × 661.50
  4. Step 4: Simplify right side
    1,310.70x = 1,300,859.60
  5. Step 5: Solve for x
    x = 1,300,859.60/1,310.70
  6. Step 6: Final answer
    x = 992.49

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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.