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Finding the Fourth Proportional to 601.39, 896.99 and 567.73

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Solution

The fourth proportional to 601.39, 896.99 and 567.73 is: 846.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.39 : 896.99 = 567.73 : x
  2. Step 2: Convert to fraction form
    601.39/896.99 = 567.73/x
  3. Step 3: Cross multiply
    601.39x = 896.99 × 567.73
  4. Step 4: Simplify right side
    601.39x = 509,248.13
  5. Step 5: Solve for x
    x = 509,248.13/601.39
  6. Step 6: Final answer
    x = 846.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.