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Finding the Fourth Proportional to 528.95, 789.64 and 459.77

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Solution

The fourth proportional to 528.95, 789.64 and 459.77 is: 686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.95 : 789.64 = 459.77 : x
  2. Step 2: Convert to fraction form
    528.95/789.64 = 459.77/x
  3. Step 3: Cross multiply
    528.95x = 789.64 × 459.77
  4. Step 4: Simplify right side
    528.95x = 363,054.53
  5. Step 5: Solve for x
    x = 363,054.53/528.95
  6. Step 6: Final answer
    x = 686.37

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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.