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Finding the Fourth Proportional to 595.73, 893.16 and 287.29

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Solution

The fourth proportional to 595.73, 893.16 and 287.29 is: 430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.73 : 893.16 = 287.29 : x
  2. Step 2: Convert to fraction form
    595.73/893.16 = 287.29/x
  3. Step 3: Cross multiply
    595.73x = 893.16 × 287.29
  4. Step 4: Simplify right side
    595.73x = 256,595.94
  5. Step 5: Solve for x
    x = 256,595.94/595.73
  6. Step 6: Final answer
    x = 430.73

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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.