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Finding the Fourth Proportional to 528.02, 787.70 and 513.12

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Solution

The fourth proportional to 528.02, 787.70 and 513.12 is: 765.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.02 : 787.70 = 513.12 : x
  2. Step 2: Convert to fraction form
    528.02/787.70 = 513.12/x
  3. Step 3: Cross multiply
    528.02x = 787.70 × 513.12
  4. Step 4: Simplify right side
    528.02x = 404,182.06
  5. Step 5: Solve for x
    x = 404,182.06/528.02
  6. Step 6: Final answer
    x = 765.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.