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Finding the Fourth Proportional to 1,142.62, 1,711.62 and 898

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Solution

The fourth proportional to 1,142.62, 1,711.62 and 898 is: 1,345.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.62 : 1,711.62 = 898 : x
  2. Step 2: Convert to fraction form
    1,142.62/1,711.62 = 898/x
  3. Step 3: Cross multiply
    1,142.62x = 1,711.62 × 898
  4. Step 4: Simplify right side
    1,142.62x = 1,537,034.76
  5. Step 5: Solve for x
    x = 1,537,034.76/1,142.62
  6. Step 6: Final answer
    x = 1,345.18

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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.