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Finding the Fourth Proportional to 897.25, 1,345.38 and 604.74

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Solution

The fourth proportional to 897.25, 1,345.38 and 604.74 is: 906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.25 : 1,345.38 = 604.74 : x
  2. Step 2: Convert to fraction form
    897.25/1,345.38 = 604.74/x
  3. Step 3: Cross multiply
    897.25x = 1,345.38 × 604.74
  4. Step 4: Simplify right side
    897.25x = 813,605.10
  5. Step 5: Solve for x
    x = 813,605.10/897.25
  6. Step 6: Final answer
    x = 906.78

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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.