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Finding the Fourth Proportional to 857.01, 1,282.64 and 491.25

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Solution

The fourth proportional to 857.01, 1,282.64 and 491.25 is: 735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.01 : 1,282.64 = 491.25 : x
  2. Step 2: Convert to fraction form
    857.01/1,282.64 = 491.25/x
  3. Step 3: Cross multiply
    857.01x = 1,282.64 × 491.25
  4. Step 4: Simplify right side
    857.01x = 630,094.44
  5. Step 5: Solve for x
    x = 630,094.44/857.01
  6. Step 6: Final answer
    x = 735.22

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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.