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Finding the Fourth Proportional to 920.91, 1,270.76 and 566.85

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Solution

The fourth proportional to 920.91, 1,270.76 and 566.85 is: 782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.91 : 1,270.76 = 566.85 : x
  2. Step 2: Convert to fraction form
    920.91/1,270.76 = 566.85/x
  3. Step 3: Cross multiply
    920.91x = 1,270.76 × 566.85
  4. Step 4: Simplify right side
    920.91x = 720,327.47
  5. Step 5: Solve for x
    x = 720,327.47/920.91
  6. Step 6: Final answer
    x = 782.19

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1.5x scale

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.