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Finding the Fourth Proportional to 875.00, 1,207.46 and 476.63

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Solution

The fourth proportional to 875.00, 1,207.46 and 476.63 is: 657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.00 : 1,207.46 = 476.63 : x
  2. Step 2: Convert to fraction form
    875.00/1,207.46 = 476.63/x
  3. Step 3: Cross multiply
    875.00x = 1,207.46 × 476.63
  4. Step 4: Simplify right side
    875.00x = 575,515.45
  5. Step 5: Solve for x
    x = 575,515.45/875.00
  6. Step 6: Final answer
    x = 657.73

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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.