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Finding the Fourth Proportional to 675.42, 1,012.80 and 346.02

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Solution

The fourth proportional to 675.42, 1,012.80 and 346.02 is: 518.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.42 : 1,012.80 = 346.02 : x
  2. Step 2: Convert to fraction form
    675.42/1,012.80 = 346.02/x
  3. Step 3: Cross multiply
    675.42x = 1,012.80 × 346.02
  4. Step 4: Simplify right side
    675.42x = 350,449.06
  5. Step 5: Solve for x
    x = 350,449.06/675.42
  6. Step 6: Final answer
    x = 518.86

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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.