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Finding the Fourth Proportional to 875.26, 1,207.90 and 580.02

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Solution

The fourth proportional to 875.26, 1,207.90 and 580.02 is: 800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.26 : 1,207.90 = 580.02 : x
  2. Step 2: Convert to fraction form
    875.26/1,207.90 = 580.02/x
  3. Step 3: Cross multiply
    875.26x = 1,207.90 × 580.02
  4. Step 4: Simplify right side
    875.26x = 700,606.16
  5. Step 5: Solve for x
    x = 700,606.16/875.26
  6. Step 6: Final answer
    x = 800.45

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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.