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Finding the Fourth Proportional to 919.29, 1,373.35 and 657.21

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Solution

The fourth proportional to 919.29, 1,373.35 and 657.21 is: 981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.29 : 1,373.35 = 657.21 : x
  2. Step 2: Convert to fraction form
    919.29/1,373.35 = 657.21/x
  3. Step 3: Cross multiply
    919.29x = 1,373.35 × 657.21
  4. Step 4: Simplify right side
    919.29x = 902,577.71
  5. Step 5: Solve for x
    x = 902,577.71/919.29
  6. Step 6: Final answer
    x = 981.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.