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Finding the Fourth Proportional to 1,715.56, 2,367.47 and 929.60

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Solution

The fourth proportional to 1,715.56, 2,367.47 and 929.60 is: 1,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.56 : 2,367.47 = 929.60 : x
  2. Step 2: Convert to fraction form
    1,715.56/2,367.47 = 929.60/x
  3. Step 3: Cross multiply
    1,715.56x = 2,367.47 × 929.60
  4. Step 4: Simplify right side
    1,715.56x = 2,200,800.11
  5. Step 5: Solve for x
    x = 2,200,800.11/1,715.56
  6. Step 6: Final answer
    x = 1,282.85

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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.