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Finding the Fourth Proportional to 857.94, 1,285.38 and 424.14

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Solution

The fourth proportional to 857.94, 1,285.38 and 424.14 is: 635.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.94 : 1,285.38 = 424.14 : x
  2. Step 2: Convert to fraction form
    857.94/1,285.38 = 424.14/x
  3. Step 3: Cross multiply
    857.94x = 1,285.38 × 424.14
  4. Step 4: Simplify right side
    857.94x = 545,181.07
  5. Step 5: Solve for x
    x = 545,181.07/857.94
  6. Step 6: Final answer
    x = 635.45

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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.