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Finding the Fourth Proportional to 1,465.64, 2,198.57 and 425.66

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Solution

The fourth proportional to 1,465.64, 2,198.57 and 425.66 is: 638.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.64 : 2,198.57 = 425.66 : x
  2. Step 2: Convert to fraction form
    1,465.64/2,198.57 = 425.66/x
  3. Step 3: Cross multiply
    1,465.64x = 2,198.57 × 425.66
  4. Step 4: Simplify right side
    1,465.64x = 935,830.19
  5. Step 5: Solve for x
    x = 935,830.19/1,465.64
  6. Step 6: Final answer
    x = 638.52

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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.