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Finding the Fourth Proportional to 875.34, 1,207.98 and 580.08

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Solution

The fourth proportional to 875.34, 1,207.98 and 580.08 is: 800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.34 : 1,207.98 = 580.08 : x
  2. Step 2: Convert to fraction form
    875.34/1,207.98 = 580.08/x
  3. Step 3: Cross multiply
    875.34x = 1,207.98 × 580.08
  4. Step 4: Simplify right side
    875.34x = 700,725.04
  5. Step 5: Solve for x
    x = 700,725.04/875.34
  6. Step 6: Final answer
    x = 800.52

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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.