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Finding the Fourth Proportional to 1,476.90, 2,039.08 and 917.98

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Solution

The fourth proportional to 1,476.90, 2,039.08 and 917.98 is: 1,267.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.90 : 2,039.08 = 917.98 : x
  2. Step 2: Convert to fraction form
    1,476.90/2,039.08 = 917.98/x
  3. Step 3: Cross multiply
    1,476.90x = 2,039.08 × 917.98
  4. Step 4: Simplify right side
    1,476.90x = 1,871,834.66
  5. Step 5: Solve for x
    x = 1,871,834.66/1,476.90
  6. Step 6: Final answer
    x = 1,267.41

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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.