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Finding the Fourth Proportional to 857.47, 1,288.32 and 549.46

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Solution

The fourth proportional to 857.47, 1,288.32 and 549.46 is: 825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.47 : 1,288.32 = 549.46 : x
  2. Step 2: Convert to fraction form
    857.47/1,288.32 = 549.46/x
  3. Step 3: Cross multiply
    857.47x = 1,288.32 × 549.46
  4. Step 4: Simplify right side
    857.47x = 707,880.31
  5. Step 5: Solve for x
    x = 707,880.31/857.47
  6. Step 6: Final answer
    x = 825.55

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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.