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Finding the Fourth Proportional to 857.07, 1,287.65 and 549.52

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Solution

The fourth proportional to 857.07, 1,287.65 and 549.52 is: 825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.07 : 1,287.65 = 549.52 : x
  2. Step 2: Convert to fraction form
    857.07/1,287.65 = 549.52/x
  3. Step 3: Cross multiply
    857.07x = 1,287.65 × 549.52
  4. Step 4: Simplify right side
    857.07x = 707,587.58
  5. Step 5: Solve for x
    x = 707,587.58/857.07
  6. Step 6: Final answer
    x = 825.59

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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.