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Finding the Fourth Proportional to 919.68, 1,376.80 and 705.76

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Solution

The fourth proportional to 919.68, 1,376.80 and 705.76 is: 1,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.68 : 1,376.80 = 705.76 : x
  2. Step 2: Convert to fraction form
    919.68/1,376.80 = 705.76/x
  3. Step 3: Cross multiply
    919.68x = 1,376.80 × 705.76
  4. Step 4: Simplify right side
    919.68x = 971,690.37
  5. Step 5: Solve for x
    x = 971,690.37/919.68
  6. Step 6: Final answer
    x = 1,056.55

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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.