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Finding the Fourth Proportional to 929.81, 1,393.18 and 467.12

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Solution

The fourth proportional to 929.81, 1,393.18 and 467.12 is: 699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.81 : 1,393.18 = 467.12 : x
  2. Step 2: Convert to fraction form
    929.81/1,393.18 = 467.12/x
  3. Step 3: Cross multiply
    929.81x = 1,393.18 × 467.12
  4. Step 4: Simplify right side
    929.81x = 650,782.24
  5. Step 5: Solve for x
    x = 650,782.24/929.81
  6. Step 6: Final answer
    x = 699.91

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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.