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Finding the Fourth Proportional to 897.32, 1,344.78 and 410.12

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Solution

The fourth proportional to 897.32, 1,344.78 and 410.12 is: 614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.32 : 1,344.78 = 410.12 : x
  2. Step 2: Convert to fraction form
    897.32/1,344.78 = 410.12/x
  3. Step 3: Cross multiply
    897.32x = 1,344.78 × 410.12
  4. Step 4: Simplify right side
    897.32x = 551,521.17
  5. Step 5: Solve for x
    x = 551,521.17/897.32
  6. Step 6: Final answer
    x = 614.63

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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.