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Finding the Fourth Proportional to 895.86, 1,344.47 and 409.25

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Solution

The fourth proportional to 895.86, 1,344.47 and 409.25 is: 614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.86 : 1,344.47 = 409.25 : x
  2. Step 2: Convert to fraction form
    895.86/1,344.47 = 409.25/x
  3. Step 3: Cross multiply
    895.86x = 1,344.47 × 409.25
  4. Step 4: Simplify right side
    895.86x = 550,225.66
  5. Step 5: Solve for x
    x = 550,225.66/895.86
  6. Step 6: Final answer
    x = 614.19

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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.