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Finding the Fourth Proportional to 1,342.01, 1,864.40 and 1,330.00

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Solution

The fourth proportional to 1,342.01, 1,864.40 and 1,330.00 is: 1,847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.01 : 1,864.40 = 1,330.00 : x
  2. Step 2: Convert to fraction form
    1,342.01/1,864.40 = 1,330.00/x
  3. Step 3: Cross multiply
    1,342.01x = 1,864.40 × 1,330.00
  4. Step 4: Simplify right side
    1,342.01x = 2,479,640.69
  5. Step 5: Solve for x
    x = 2,479,640.69/1,342.01
  6. Step 6: Final answer
    x = 1,847.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.