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Finding the Fourth Proportional to 1,477.43, 2,038.64 and 847.99

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Solution

The fourth proportional to 1,477.43, 2,038.64 and 847.99 is: 1,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.43 : 2,038.64 = 847.99 : x
  2. Step 2: Convert to fraction form
    1,477.43/2,038.64 = 847.99/x
  3. Step 3: Cross multiply
    1,477.43x = 2,038.64 × 847.99
  4. Step 4: Simplify right side
    1,477.43x = 1,728,737.00
  5. Step 5: Solve for x
    x = 1,728,737.00/1,477.43
  6. Step 6: Final answer
    x = 1,170.10

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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.