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Finding the Fourth Proportional to 648.16, 970.08 and 456.64

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Solution

The fourth proportional to 648.16, 970.08 and 456.64 is: 683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.16 : 970.08 = 456.64 : x
  2. Step 2: Convert to fraction form
    648.16/970.08 = 456.64/x
  3. Step 3: Cross multiply
    648.16x = 970.08 × 456.64
  4. Step 4: Simplify right side
    648.16x = 442,977.33
  5. Step 5: Solve for x
    x = 442,977.33/648.16
  6. Step 6: Final answer
    x = 683.44

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