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Finding the Fourth Proportional to 524.94, 787.55 and 432.56

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Solution

The fourth proportional to 524.94, 787.55 and 432.56 is: 648.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.94 : 787.55 = 432.56 : x
  2. Step 2: Convert to fraction form
    524.94/787.55 = 432.56/x
  3. Step 3: Cross multiply
    524.94x = 787.55 × 432.56
  4. Step 4: Simplify right side
    524.94x = 340,656.53
  5. Step 5: Solve for x
    x = 340,656.53/524.94
  6. Step 6: Final answer
    x = 648.94

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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.