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Finding the Fourth Proportional to 529.02, 788.34 and 511.61

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Solution

The fourth proportional to 529.02, 788.34 and 511.61 is: 762.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.02 : 788.34 = 511.61 : x
  2. Step 2: Convert to fraction form
    529.02/788.34 = 511.61/x
  3. Step 3: Cross multiply
    529.02x = 788.34 × 511.61
  4. Step 4: Simplify right side
    529.02x = 403,318.69
  5. Step 5: Solve for x
    x = 403,318.69/529.02
  6. Step 6: Final answer
    x = 762.39

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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.