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Finding the Fourth Proportional to 920.94, 1,381.74 and 555.98

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Solution

The fourth proportional to 920.94, 1,381.74 and 555.98 is: 834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.94 : 1,381.74 = 555.98 : x
  2. Step 2: Convert to fraction form
    920.94/1,381.74 = 555.98/x
  3. Step 3: Cross multiply
    920.94x = 1,381.74 × 555.98
  4. Step 4: Simplify right side
    920.94x = 768,219.81
  5. Step 5: Solve for x
    x = 768,219.81/920.94
  6. Step 6: Final answer
    x = 834.17

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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.