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Finding the Fourth Proportional to 897.13, 1,344.88 and 463.38

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Solution

The fourth proportional to 897.13, 1,344.88 and 463.38 is: 694.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.13 : 1,344.88 = 463.38 : x
  2. Step 2: Convert to fraction form
    897.13/1,344.88 = 463.38/x
  3. Step 3: Cross multiply
    897.13x = 1,344.88 × 463.38
  4. Step 4: Simplify right side
    897.13x = 623,190.49
  5. Step 5: Solve for x
    x = 623,190.49/897.13
  6. Step 6: Final answer
    x = 694.65

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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.