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Finding the Fourth Proportional to 1,057.90, 1,588.61 and 713.45

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Solution

The fourth proportional to 1,057.90, 1,588.61 and 713.45 is: 1,071.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.90 : 1,588.61 = 713.45 : x
  2. Step 2: Convert to fraction form
    1,057.90/1,588.61 = 713.45/x
  3. Step 3: Cross multiply
    1,057.90x = 1,588.61 × 713.45
  4. Step 4: Simplify right side
    1,057.90x = 1,133,393.80
  5. Step 5: Solve for x
    x = 1,133,393.80/1,057.90
  6. Step 6: Final answer
    x = 1,071.36

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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.