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Finding the Fourth Proportional to 763.97, 1,051.99 and 597.81

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Solution

The fourth proportional to 763.97, 1,051.99 and 597.81 is: 823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.97 : 1,051.99 = 597.81 : x
  2. Step 2: Convert to fraction form
    763.97/1,051.99 = 597.81/x
  3. Step 3: Cross multiply
    763.97x = 1,051.99 × 597.81
  4. Step 4: Simplify right side
    763.97x = 628,892.59
  5. Step 5: Solve for x
    x = 628,892.59/763.97
  6. Step 6: Final answer
    x = 823.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.