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Finding the Fourth Proportional to 1,207.55, 1,660.02 and 1,038.89

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Solution

The fourth proportional to 1,207.55, 1,660.02 and 1,038.89 is: 1,428.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.55 : 1,660.02 = 1,038.89 : x
  2. Step 2: Convert to fraction form
    1,207.55/1,660.02 = 1,038.89/x
  3. Step 3: Cross multiply
    1,207.55x = 1,660.02 × 1,038.89
  4. Step 4: Simplify right side
    1,207.55x = 1,724,564.68
  5. Step 5: Solve for x
    x = 1,724,564.68/1,207.55
  6. Step 6: Final answer
    x = 1,428.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.