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Finding the Fourth Proportional to 857.94, 1,285.28 and 491.62

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Solution

The fourth proportional to 857.94, 1,285.28 and 491.62 is: 736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.94 : 1,285.28 = 491.62 : x
  2. Step 2: Convert to fraction form
    857.94/1,285.28 = 491.62/x
  3. Step 3: Cross multiply
    857.94x = 1,285.28 × 491.62
  4. Step 4: Simplify right side
    857.94x = 631,869.35
  5. Step 5: Solve for x
    x = 631,869.35/857.94
  6. Step 6: Final answer
    x = 736.50

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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.