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Finding the Fourth Proportional to 1,415.64, 2,123.63 and 684.69

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Solution

The fourth proportional to 1,415.64, 2,123.63 and 684.69 is: 1,027.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.64 : 2,123.63 = 684.69 : x
  2. Step 2: Convert to fraction form
    1,415.64/2,123.63 = 684.69/x
  3. Step 3: Cross multiply
    1,415.64x = 2,123.63 × 684.69
  4. Step 4: Simplify right side
    1,415.64x = 1,454,026.51
  5. Step 5: Solve for x
    x = 1,454,026.51/1,415.64
  6. Step 6: Final answer
    x = 1,027.12

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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.