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Finding the Fourth Proportional to 580.55, 870.70 and 205.35

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Solution

The fourth proportional to 580.55, 870.70 and 205.35 is: 307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.55 : 870.70 = 205.35 : x
  2. Step 2: Convert to fraction form
    580.55/870.70 = 205.35/x
  3. Step 3: Cross multiply
    580.55x = 870.70 × 205.35
  4. Step 4: Simplify right side
    580.55x = 178,799.75
  5. Step 5: Solve for x
    x = 178,799.75/580.55
  6. Step 6: Final answer
    x = 307.99

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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.