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Finding the Fourth Proportional to 1,340.68, 2,010.72 and 647.32

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Solution

The fourth proportional to 1,340.68, 2,010.72 and 647.32 is: 970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.68 : 2,010.72 = 647.32 : x
  2. Step 2: Convert to fraction form
    1,340.68/2,010.72 = 647.32/x
  3. Step 3: Cross multiply
    1,340.68x = 2,010.72 × 647.32
  4. Step 4: Simplify right side
    1,340.68x = 1,301,579.27
  5. Step 5: Solve for x
    x = 1,301,579.27/1,340.68
  6. Step 6: Final answer
    x = 970.84

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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.