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Finding the Fourth Proportional to 1,310.16, 1,965.46 and 652.07

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Solution

The fourth proportional to 1,310.16, 1,965.46 and 652.07 is: 978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.16 : 1,965.46 = 652.07 : x
  2. Step 2: Convert to fraction form
    1,310.16/1,965.46 = 652.07/x
  3. Step 3: Cross multiply
    1,310.16x = 1,965.46 × 652.07
  4. Step 4: Simplify right side
    1,310.16x = 1,281,614.24
  5. Step 5: Solve for x
    x = 1,281,614.24/1,310.16
  6. Step 6: Final answer
    x = 978.22

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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.