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Finding the Fourth Proportional to 1,750.34, 2,625.46 and 710.31

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Solution

The fourth proportional to 1,750.34, 2,625.46 and 710.31 is: 1,065.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.34 : 2,625.46 = 710.31 : x
  2. Step 2: Convert to fraction form
    1,750.34/2,625.46 = 710.31/x
  3. Step 3: Cross multiply
    1,750.34x = 2,625.46 × 710.31
  4. Step 4: Simplify right side
    1,750.34x = 1,864,898.56
  5. Step 5: Solve for x
    x = 1,864,898.56/1,750.34
  6. Step 6: Final answer
    x = 1,065.45

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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.