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Finding the Fourth Proportional to 772.33, 1,066.15 and 492.93

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Solution

The fourth proportional to 772.33, 1,066.15 and 492.93 is: 680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.33 : 1,066.15 = 492.93 : x
  2. Step 2: Convert to fraction form
    772.33/1,066.15 = 492.93/x
  3. Step 3: Cross multiply
    772.33x = 1,066.15 × 492.93
  4. Step 4: Simplify right side
    772.33x = 525,531.99
  5. Step 5: Solve for x
    x = 525,531.99/772.33
  6. Step 6: Final answer
    x = 680.45

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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.