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Finding the Fourth Proportional to 918.19, 1,266.50 and 603.74

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Solution

The fourth proportional to 918.19, 1,266.50 and 603.74 is: 832.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.19 : 1,266.50 = 603.74 : x
  2. Step 2: Convert to fraction form
    918.19/1,266.50 = 603.74/x
  3. Step 3: Cross multiply
    918.19x = 1,266.50 × 603.74
  4. Step 4: Simplify right side
    918.19x = 764,641.39
  5. Step 5: Solve for x
    x = 764,641.39/918.19
  6. Step 6: Final answer
    x = 832.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.