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Finding the Fourth Proportional to 1,437.64, 2,155.36 and 706.84

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Solution

The fourth proportional to 1,437.64, 2,155.36 and 706.84 is: 1,059.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.64 : 2,155.36 = 706.84 : x
  2. Step 2: Convert to fraction form
    1,437.64/2,155.36 = 706.84/x
  3. Step 3: Cross multiply
    1,437.64x = 2,155.36 × 706.84
  4. Step 4: Simplify right side
    1,437.64x = 1,523,494.66
  5. Step 5: Solve for x
    x = 1,523,494.66/1,437.64
  6. Step 6: Final answer
    x = 1,059.72

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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.