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Finding the Fourth Proportional to 2,920.77, 4,381.04 and 729.50

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Solution

The fourth proportional to 2,920.77, 4,381.04 and 729.50 is: 1,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.77 : 4,381.04 = 729.50 : x
  2. Step 2: Convert to fraction form
    2,920.77/4,381.04 = 729.50/x
  3. Step 3: Cross multiply
    2,920.77x = 4,381.04 × 729.50
  4. Step 4: Simplify right side
    2,920.77x = 3,195,948.60
  5. Step 5: Solve for x
    x = 3,195,948.60/2,920.77
  6. Step 6: Final answer
    x = 1,094.21

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1.5x scale

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.