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Finding the Fourth Proportional to 1,340.40, 2,010.45 and 646.50

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Solution

The fourth proportional to 1,340.40, 2,010.45 and 646.50 is: 969.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.40 : 2,010.45 = 646.50 : x
  2. Step 2: Convert to fraction form
    1,340.40/2,010.45 = 646.50/x
  3. Step 3: Cross multiply
    1,340.40x = 2,010.45 × 646.50
  4. Step 4: Simplify right side
    1,340.40x = 1,299,755.93
  5. Step 5: Solve for x
    x = 1,299,755.93/1,340.40
  6. Step 6: Final answer
    x = 969.68

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Double scale
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1.5x scale

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.