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Finding the Fourth Proportional to 648.96, 975.12 and 466.08

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Solution

The fourth proportional to 648.96, 975.12 and 466.08 is: 700.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.96 : 975.12 = 466.08 : x
  2. Step 2: Convert to fraction form
    648.96/975.12 = 466.08/x
  3. Step 3: Cross multiply
    648.96x = 975.12 × 466.08
  4. Step 4: Simplify right side
    648.96x = 454,483.93
  5. Step 5: Solve for x
    x = 454,483.93/648.96
  6. Step 6: Final answer
    x = 700.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.