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Finding the Fourth Proportional to 962.19, 1,442.37 and 312.47

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Solution

The fourth proportional to 962.19, 1,442.37 and 312.47 is: 468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.19 : 1,442.37 = 312.47 : x
  2. Step 2: Convert to fraction form
    962.19/1,442.37 = 312.47/x
  3. Step 3: Cross multiply
    962.19x = 1,442.37 × 312.47
  4. Step 4: Simplify right side
    962.19x = 450,696.72
  5. Step 5: Solve for x
    x = 450,696.72/962.19
  6. Step 6: Final answer
    x = 468.41

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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.