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Finding the Fourth Proportional to 528.84, 789.48 and 474.24

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Solution

The fourth proportional to 528.84, 789.48 and 474.24 is: 707.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.84 : 789.48 = 474.24 : x
  2. Step 2: Convert to fraction form
    528.84/789.48 = 474.24/x
  3. Step 3: Cross multiply
    528.84x = 789.48 × 474.24
  4. Step 4: Simplify right side
    528.84x = 374,403.00
  5. Step 5: Solve for x
    x = 374,403.00/528.84
  6. Step 6: Final answer
    x = 707.97

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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.