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Finding the Fourth Proportional to 648.18, 893.25 and 473.58

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Solution

The fourth proportional to 648.18, 893.25 and 473.58 is: 652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.18 : 893.25 = 473.58 : x
  2. Step 2: Convert to fraction form
    648.18/893.25 = 473.58/x
  3. Step 3: Cross multiply
    648.18x = 893.25 × 473.58
  4. Step 4: Simplify right side
    648.18x = 423,025.34
  5. Step 5: Solve for x
    x = 423,025.34/648.18
  6. Step 6: Final answer
    x = 652.64

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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.