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Finding the Fourth Proportional to 529.73, 790.80 and 460.55

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Solution

The fourth proportional to 529.73, 790.80 and 460.55 is: 687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.73 : 790.80 = 460.55 : x
  2. Step 2: Convert to fraction form
    529.73/790.80 = 460.55/x
  3. Step 3: Cross multiply
    529.73x = 790.80 × 460.55
  4. Step 4: Simplify right side
    529.73x = 364,198.99
  5. Step 5: Solve for x
    x = 364,198.99/529.73
  6. Step 6: Final answer
    x = 687.52

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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.