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Finding the Fourth Proportional to 875.63, 1,313.97 and 785.99

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Solution

The fourth proportional to 875.63, 1,313.97 and 785.99 is: 1,179.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.63 : 1,313.97 = 785.99 : x
  2. Step 2: Convert to fraction form
    875.63/1,313.97 = 785.99/x
  3. Step 3: Cross multiply
    875.63x = 1,313.97 × 785.99
  4. Step 4: Simplify right side
    875.63x = 1,032,767.28
  5. Step 5: Solve for x
    x = 1,032,767.28/875.63
  6. Step 6: Final answer
    x = 1,179.46

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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.