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Finding the Fourth Proportional to 580.07, 870.34 and 209.93

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Solution

The fourth proportional to 580.07, 870.34 and 209.93 is: 314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.07 : 870.34 = 209.93 : x
  2. Step 2: Convert to fraction form
    580.07/870.34 = 209.93/x
  3. Step 3: Cross multiply
    580.07x = 870.34 × 209.93
  4. Step 4: Simplify right side
    580.07x = 182,705.99
  5. Step 5: Solve for x
    x = 182,705.99/580.07
  6. Step 6: Final answer
    x = 314.97

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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.