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Finding the Fourth Proportional to 648.10, 971.19 and 476.26

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Solution

The fourth proportional to 648.10, 971.19 and 476.26 is: 713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.10 : 971.19 = 476.26 : x
  2. Step 2: Convert to fraction form
    648.10/971.19 = 476.26/x
  3. Step 3: Cross multiply
    648.10x = 971.19 × 476.26
  4. Step 4: Simplify right side
    648.10x = 462,538.95
  5. Step 5: Solve for x
    x = 462,538.95/648.10
  6. Step 6: Final answer
    x = 713.68

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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.