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Finding the Fourth Proportional to 897.67, 1,345.34 and 403.71

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Solution

The fourth proportional to 897.67, 1,345.34 and 403.71 is: 605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.67 : 1,345.34 = 403.71 : x
  2. Step 2: Convert to fraction form
    897.67/1,345.34 = 403.71/x
  3. Step 3: Cross multiply
    897.67x = 1,345.34 × 403.71
  4. Step 4: Simplify right side
    897.67x = 543,127.21
  5. Step 5: Solve for x
    x = 543,127.21/897.67
  6. Step 6: Final answer
    x = 605.04

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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.