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Finding the Fourth Proportional to 384.87, 579.90 and 317.89

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Solution

The fourth proportional to 384.87, 579.90 and 317.89 is: 478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.87 : 579.90 = 317.89 : x
  2. Step 2: Convert to fraction form
    384.87/579.90 = 317.89/x
  3. Step 3: Cross multiply
    384.87x = 579.90 × 317.89
  4. Step 4: Simplify right side
    384.87x = 184,345.43
  5. Step 5: Solve for x
    x = 184,345.43/384.87
  6. Step 6: Final answer
    x = 478.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.