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Finding the Fourth Proportional to 918.32, 1,376.55 and 456.43

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Solution

The fourth proportional to 918.32, 1,376.55 and 456.43 is: 684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.32 : 1,376.55 = 456.43 : x
  2. Step 2: Convert to fraction form
    918.32/1,376.55 = 456.43/x
  3. Step 3: Cross multiply
    918.32x = 1,376.55 × 456.43
  4. Step 4: Simplify right side
    918.32x = 628,298.72
  5. Step 5: Solve for x
    x = 628,298.72/918.32
  6. Step 6: Final answer
    x = 684.18

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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.