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Finding the Fourth Proportional to 1,310.52, 1,967.00 and 661.71

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Solution

The fourth proportional to 1,310.52, 1,967.00 and 661.71 is: 993.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.52 : 1,967.00 = 661.71 : x
  2. Step 2: Convert to fraction form
    1,310.52/1,967.00 = 661.71/x
  3. Step 3: Cross multiply
    1,310.52x = 1,967.00 × 661.71
  4. Step 4: Simplify right side
    1,310.52x = 1,301,580.26
  5. Step 5: Solve for x
    x = 1,301,580.26/1,310.52
  6. Step 6: Final answer
    x = 993.18

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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.