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Finding the Fourth Proportional to 1,343.34, 2,014.86 and 465.68

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Solution

The fourth proportional to 1,343.34, 2,014.86 and 465.68 is: 698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.34 : 2,014.86 = 465.68 : x
  2. Step 2: Convert to fraction form
    1,343.34/2,014.86 = 465.68/x
  3. Step 3: Cross multiply
    1,343.34x = 2,014.86 × 465.68
  4. Step 4: Simplify right side
    1,343.34x = 938,280.00
  5. Step 5: Solve for x
    x = 938,280.00/1,343.34
  6. Step 6: Final answer
    x = 698.47

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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.