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Finding the Fourth Proportional to 875.07, 1,207.91 and 580.42

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Solution

The fourth proportional to 875.07, 1,207.91 and 580.42 is: 801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.07 : 1,207.91 = 580.42 : x
  2. Step 2: Convert to fraction form
    875.07/1,207.91 = 580.42/x
  3. Step 3: Cross multiply
    875.07x = 1,207.91 × 580.42
  4. Step 4: Simplify right side
    875.07x = 701,095.12
  5. Step 5: Solve for x
    x = 701,095.12/875.07
  6. Step 6: Final answer
    x = 801.19

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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.