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Finding the Fourth Proportional to 897.18, 1,344.60 and 348.90

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Solution

The fourth proportional to 897.18, 1,344.60 and 348.90 is: 522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.18 : 1,344.60 = 348.90 : x
  2. Step 2: Convert to fraction form
    897.18/1,344.60 = 348.90/x
  3. Step 3: Cross multiply
    897.18x = 1,344.60 × 348.90
  4. Step 4: Simplify right side
    897.18x = 469,130.94
  5. Step 5: Solve for x
    x = 469,130.94/897.18
  6. Step 6: Final answer
    x = 522.90

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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.