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Finding the Fourth Proportional to 895.07, 1,342.71 and 408.06

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Solution

The fourth proportional to 895.07, 1,342.71 and 408.06 is: 612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.07 : 1,342.71 = 408.06 : x
  2. Step 2: Convert to fraction form
    895.07/1,342.71 = 408.06/x
  3. Step 3: Cross multiply
    895.07x = 1,342.71 × 408.06
  4. Step 4: Simplify right side
    895.07x = 547,906.24
  5. Step 5: Solve for x
    x = 547,906.24/895.07
  6. Step 6: Final answer
    x = 612.14

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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.