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Finding the Fourth Proportional to 1,688.40, 2,533.64 and 958.48

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Solution

The fourth proportional to 1,688.40, 2,533.64 and 958.48 is: 1,438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.40 : 2,533.64 = 958.48 : x
  2. Step 2: Convert to fraction form
    1,688.40/2,533.64 = 958.48/x
  3. Step 3: Cross multiply
    1,688.40x = 2,533.64 × 958.48
  4. Step 4: Simplify right side
    1,688.40x = 2,428,443.27
  5. Step 5: Solve for x
    x = 2,428,443.27/1,688.40
  6. Step 6: Final answer
    x = 1,438.31

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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.