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Finding the Fourth Proportional to 918.08, 1,376.75 and 424.19

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Solution

The fourth proportional to 918.08, 1,376.75 and 424.19 is: 636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.08 : 1,376.75 = 424.19 : x
  2. Step 2: Convert to fraction form
    918.08/1,376.75 = 424.19/x
  3. Step 3: Cross multiply
    918.08x = 1,376.75 × 424.19
  4. Step 4: Simplify right side
    918.08x = 583,997.95
  5. Step 5: Solve for x
    x = 583,997.95/918.08
  6. Step 6: Final answer
    x = 636.10

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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.