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Finding the Fourth Proportional to 794.16, 1,187.64 and 648.72

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Solution

The fourth proportional to 794.16, 1,187.64 and 648.72 is: 970.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.16 : 1,187.64 = 648.72 : x
  2. Step 2: Convert to fraction form
    794.16/1,187.64 = 648.72/x
  3. Step 3: Cross multiply
    794.16x = 1,187.64 × 648.72
  4. Step 4: Simplify right side
    794.16x = 770,445.82
  5. Step 5: Solve for x
    x = 770,445.82/794.16
  6. Step 6: Final answer
    x = 970.14

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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.