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Finding the Fourth Proportional to 1,331.99, 1,838.15 and 734.50

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Solution

The fourth proportional to 1,331.99, 1,838.15 and 734.50 is: 1,013.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.99 : 1,838.15 = 734.50 : x
  2. Step 2: Convert to fraction form
    1,331.99/1,838.15 = 734.50/x
  3. Step 3: Cross multiply
    1,331.99x = 1,838.15 × 734.50
  4. Step 4: Simplify right side
    1,331.99x = 1,350,111.98
  5. Step 5: Solve for x
    x = 1,350,111.98/1,331.99
  6. Step 6: Final answer
    x = 1,013.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.