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Finding the Fourth Proportional to 895.73, 1,341.81 and 689.58

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Solution

The fourth proportional to 895.73, 1,341.81 and 689.58 is: 1,033.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.73 : 1,341.81 = 689.58 : x
  2. Step 2: Convert to fraction form
    895.73/1,341.81 = 689.58/x
  3. Step 3: Cross multiply
    895.73x = 1,341.81 × 689.58
  4. Step 4: Simplify right side
    895.73x = 925,285.34
  5. Step 5: Solve for x
    x = 925,285.34/895.73
  6. Step 6: Final answer
    x = 1,033.00

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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.