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Finding the Fourth Proportional to 920.79, 1,270.91 and 566.94

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Solution

The fourth proportional to 920.79, 1,270.91 and 566.94 is: 782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.79 : 1,270.91 = 566.94 : x
  2. Step 2: Convert to fraction form
    920.79/1,270.91 = 566.94/x
  3. Step 3: Cross multiply
    920.79x = 1,270.91 × 566.94
  4. Step 4: Simplify right side
    920.79x = 720,526.88
  5. Step 5: Solve for x
    x = 720,526.88/920.79
  6. Step 6: Final answer
    x = 782.51

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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.