Home / 1,688.34-2,531.70-713.91

Finding the Fourth Proportional to 1,688.34, 2,531.70 and 713.91

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Solution

The fourth proportional to 1,688.34, 2,531.70 and 713.91 is: 1,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.34 : 2,531.70 = 713.91 : x
  2. Step 2: Convert to fraction form
    1,688.34/2,531.70 = 713.91/x
  3. Step 3: Cross multiply
    1,688.34x = 2,531.70 × 713.91
  4. Step 4: Simplify right side
    1,688.34x = 1,807,405.95
  5. Step 5: Solve for x
    x = 1,807,405.95/1,688.34
  6. Step 6: Final answer
    x = 1,070.52

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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.