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Finding the Fourth Proportional to 860.97, 1,291.47 and 283.85

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Solution

The fourth proportional to 860.97, 1,291.47 and 283.85 is: 425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.97 : 1,291.47 = 283.85 : x
  2. Step 2: Convert to fraction form
    860.97/1,291.47 = 283.85/x
  3. Step 3: Cross multiply
    860.97x = 1,291.47 × 283.85
  4. Step 4: Simplify right side
    860.97x = 366,581.08
  5. Step 5: Solve for x
    x = 366,581.08/860.97
  6. Step 6: Final answer
    x = 425.77

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Double scale
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1.5x scale

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.