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Finding the Fourth Proportional to 1,340.55, 2,012.13 and 647.72

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Solution

The fourth proportional to 1,340.55, 2,012.13 and 647.72 is: 972.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.55 : 2,012.13 = 647.72 : x
  2. Step 2: Convert to fraction form
    1,340.55/2,012.13 = 647.72/x
  3. Step 3: Cross multiply
    1,340.55x = 2,012.13 × 647.72
  4. Step 4: Simplify right side
    1,340.55x = 1,303,294.33
  5. Step 5: Solve for x
    x = 1,303,294.33/1,340.55
  6. Step 6: Final answer
    x = 972.21

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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.