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Finding the Fourth Proportional to 929.21, 1,393.11 and 312.54

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Solution

The fourth proportional to 929.21, 1,393.11 and 312.54 is: 468.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.21 : 1,393.11 = 312.54 : x
  2. Step 2: Convert to fraction form
    929.21/1,393.11 = 312.54/x
  3. Step 3: Cross multiply
    929.21x = 1,393.11 × 312.54
  4. Step 4: Simplify right side
    929.21x = 435,402.60
  5. Step 5: Solve for x
    x = 435,402.60/929.21
  6. Step 6: Final answer
    x = 468.58

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1.5x scale

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.