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Finding the Fourth Proportional to 929.96, 1,283.52 and 615.24

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Solution

The fourth proportional to 929.96, 1,283.52 and 615.24 is: 849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.96 : 1,283.52 = 615.24 : x
  2. Step 2: Convert to fraction form
    929.96/1,283.52 = 615.24/x
  3. Step 3: Cross multiply
    929.96x = 1,283.52 × 615.24
  4. Step 4: Simplify right side
    929.96x = 789,672.84
  5. Step 5: Solve for x
    x = 789,672.84/929.96
  6. Step 6: Final answer
    x = 849.15

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.