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Finding the Fourth Proportional to 788.36, 1,182.64 and 710.92

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Solution

The fourth proportional to 788.36, 1,182.64 and 710.92 is: 1,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.36 : 1,182.64 = 710.92 : x
  2. Step 2: Convert to fraction form
    788.36/1,182.64 = 710.92/x
  3. Step 3: Cross multiply
    788.36x = 1,182.64 × 710.92
  4. Step 4: Simplify right side
    788.36x = 840,762.43
  5. Step 5: Solve for x
    x = 840,762.43/788.36
  6. Step 6: Final answer
    x = 1,066.47

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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.