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Finding the Fourth Proportional to 595.59, 893.12 and 287.21

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Solution

The fourth proportional to 595.59, 893.12 and 287.21 is: 430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.59 : 893.12 = 287.21 : x
  2. Step 2: Convert to fraction form
    595.59/893.12 = 287.21/x
  3. Step 3: Cross multiply
    595.59x = 893.12 × 287.21
  4. Step 4: Simplify right side
    595.59x = 256,507.09
  5. Step 5: Solve for x
    x = 256,507.09/595.59
  6. Step 6: Final answer
    x = 430.68

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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.