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Finding the Fourth Proportional to 1,312.34, 1,811 and 722.90

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Solution

The fourth proportional to 1,312.34, 1,811 and 722.90 is: 997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.34 : 1,811 = 722.90 : x
  2. Step 2: Convert to fraction form
    1,312.34/1,811 = 722.90/x
  3. Step 3: Cross multiply
    1,312.34x = 1,811 × 722.90
  4. Step 4: Simplify right side
    1,312.34x = 1,309,171.90
  5. Step 5: Solve for x
    x = 1,309,171.90/1,312.34
  6. Step 6: Final answer
    x = 997.59

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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.