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Finding the Fourth Proportional to 524.66, 787.40 and 378.86

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Solution

The fourth proportional to 524.66, 787.40 and 378.86 is: 568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.66 : 787.40 = 378.86 : x
  2. Step 2: Convert to fraction form
    524.66/787.40 = 378.86/x
  3. Step 3: Cross multiply
    524.66x = 787.40 × 378.86
  4. Step 4: Simplify right side
    524.66x = 298,312.47
  5. Step 5: Solve for x
    x = 298,312.47/524.66
  6. Step 6: Final answer
    x = 568.58

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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.