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Finding the Fourth Proportional to 529.63, 789.95 and 460.61

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Solution

The fourth proportional to 529.63, 789.95 and 460.61 is: 687.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.63 : 789.95 = 460.61 : x
  2. Step 2: Convert to fraction form
    529.63/789.95 = 460.61/x
  3. Step 3: Cross multiply
    529.63x = 789.95 × 460.61
  4. Step 4: Simplify right side
    529.63x = 363,852.62
  5. Step 5: Solve for x
    x = 363,852.62/529.63
  6. Step 6: Final answer
    x = 687.00

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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.