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Finding the Fourth Proportional to 524.42, 787.32 and 402.77

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Solution

The fourth proportional to 524.42, 787.32 and 402.77 is: 604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.42 : 787.32 = 402.77 : x
  2. Step 2: Convert to fraction form
    524.42/787.32 = 402.77/x
  3. Step 3: Cross multiply
    524.42x = 787.32 × 402.77
  4. Step 4: Simplify right side
    524.42x = 317,110.84
  5. Step 5: Solve for x
    x = 317,110.84/524.42
  6. Step 6: Final answer
    x = 604.68

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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.