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Finding the Fourth Proportional to 1,477.01, 2,038.11 and 917.57

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Solution

The fourth proportional to 1,477.01, 2,038.11 and 917.57 is: 1,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.01 : 2,038.11 = 917.57 : x
  2. Step 2: Convert to fraction form
    1,477.01/2,038.11 = 917.57/x
  3. Step 3: Cross multiply
    1,477.01x = 2,038.11 × 917.57
  4. Step 4: Simplify right side
    1,477.01x = 1,870,108.59
  5. Step 5: Solve for x
    x = 1,870,108.59/1,477.01
  6. Step 6: Final answer
    x = 1,266.14

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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.