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Finding the Fourth Proportional to 898.12, 1,345.83 and 692.38

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Solution

The fourth proportional to 898.12, 1,345.83 and 692.38 is: 1,037.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.12 : 1,345.83 = 692.38 : x
  2. Step 2: Convert to fraction form
    898.12/1,345.83 = 692.38/x
  3. Step 3: Cross multiply
    898.12x = 1,345.83 × 692.38
  4. Step 4: Simplify right side
    898.12x = 931,825.78
  5. Step 5: Solve for x
    x = 931,825.78/898.12
  6. Step 6: Final answer
    x = 1,037.53

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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.