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Finding the Fourth Proportional to 675.42, 1,012.44 and 310.47

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Solution

The fourth proportional to 675.42, 1,012.44 and 310.47 is: 465.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.42 : 1,012.44 = 310.47 : x
  2. Step 2: Convert to fraction form
    675.42/1,012.44 = 310.47/x
  3. Step 3: Cross multiply
    675.42x = 1,012.44 × 310.47
  4. Step 4: Simplify right side
    675.42x = 314,332.25
  5. Step 5: Solve for x
    x = 314,332.25/675.42
  6. Step 6: Final answer
    x = 465.39

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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.