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Finding the Fourth Proportional to 478.55, 716.74 and 285.77

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Solution

The fourth proportional to 478.55, 716.74 and 285.77 is: 428.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.55 : 716.74 = 285.77 : x
  2. Step 2: Convert to fraction form
    478.55/716.74 = 285.77/x
  3. Step 3: Cross multiply
    478.55x = 716.74 × 285.77
  4. Step 4: Simplify right side
    478.55x = 204,822.79
  5. Step 5: Solve for x
    x = 204,822.79/478.55
  6. Step 6: Final answer
    x = 428.01

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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.