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Finding the Fourth Proportional to 648, 893.41 and 529.84

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Solution

The fourth proportional to 648, 893.41 and 529.84 is: 730.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    648 : 893.41 = 529.84 : x
  2. Step 2: Convert to fraction form
    648/893.41 = 529.84/x
  3. Step 3: Cross multiply
    648x = 893.41 × 529.84
  4. Step 4: Simplify right side
    648x = 473,364.35
  5. Step 5: Solve for x
    x = 473,364.35/648
  6. Step 6: Final answer
    x = 730.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.